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148361136 = 243711137293
BaseRepresentation
bin10001101011111…
…00111110110000
3101100011112012220
420311330332300
5300440024021
622415521040
73451022520
oct1065747660
9340145186
10148361136
1176822a10
1241829180
1324976c71
14159bd680
15d058cc6
hex8d7cfb0

148361136 has 160 divisors (see below), whose sum is σ = 482969088. Its totient is φ = 38123520.

The previous prime is 148361113. The next prime is 148361173. The reversal of 148361136 is 631163841.

It is a super-2 number, since 2×1483611362 = 44022053350420992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 148361097 and 148361106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506206 + ... + 506498.

Almost surely, 2148361136 is an apocalyptic number.

148361136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148361136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241484544).

148361136 is an abundant number, since it is smaller than the sum of its proper divisors (334607952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148361136 is a wasteful number, since it uses less digits than its factorization.

148361136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 148361136 is about 12180.3586154103. The cubic root of 148361136 is about 529.3871354236.

The spelling of 148361136 in words is "one hundred forty-eight million, three hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 137 154 168 176 231 264 274 293 308 336 411 462 528 548 586 616 822 879 924 959 1096 1172 1232 1507 1644 1758 1848 1918 2051 2192 2344 2877 3014 3223 3288 3516 3696 3836 4102 4521 4688 5754 6028 6153 6446 6576 7032 7672 8204 9042 9669 10549 11508 12056 12306 12892 14064 15344 16408 18084 19338 21098 22561 23016 24112 24612 25784 31647 32816 36168 38676 40141 42196 45122 46032 49224 51568 63294 67683 72336 77352 80282 84392 90244 98448 120423 126588 135366 154704 160564 168784 180488 240846 253176 270732 280987 321128 360976 441551 481692 506352 541464 561974 642256 842961 883102 963384 1082928 1123948 1324653 1685922 1766204 1926768 2247896 2649306 3090857 3371844 3532408 4495792 5298612 6181714 6743688 7064816 9272571 10597224 12363428 13487376 18545142 21194448 24726856 37090284 49453712 74180568 148361136