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148055136 = 25310914149
BaseRepresentation
bin10001101001100…
…10010001100000
3101022120222110120
420310302101200
5300400231021
622405200240
73445306425
oct1064622140
9338528416
10148055136
1176634019
1241700080
132489a8b8
141593dd4c
15cee82c6
hex8d32460

148055136 has 48 divisors (see below), whose sum is σ = 392238000. Its totient is φ = 48895488.

The previous prime is 148055119. The next prime is 148055147. The reversal of 148055136 is 631550841.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 148055097 and 148055106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3390 + ... + 17538.

It is an arithmetic number, because the mean of its divisors is an integer number (8171625).

Almost surely, 2148055136 is an apocalyptic number.

148055136 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 148055136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196119000).

148055136 is an abundant number, since it is smaller than the sum of its proper divisors (244182864).

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

148055136 is a wasteful number, since it uses less digits than its factorization.

148055136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14271 (or 14263 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 148055136 is about 12167.7909252255. The cubic root of 148055136 is about 529.0229251205.

It can be divided in two parts, 1480 and 55136, that added together give a triangular number (56616 = T336).

The spelling of 148055136 in words is "one hundred forty-eight million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2616 3488 5232 10464 14149 28298 42447 56596 84894 113192 169788 226384 339576 452768 679152 1358304 1542241 3084482 4626723 6168964 9253446 12337928 18506892 24675856 37013784 49351712 74027568 148055136