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148915152 = 2433615651
BaseRepresentation
bin10001110000001…
…00001111010000
3101101012200012000
420320010033100
5301110241102
622435434000
73455520651
oct1070041720
9341180160
10148915152
1177071181
1241a55900
1324b0c199
1415ac5528
15d11801c
hex8e043d0

148915152 has 80 divisors (see below), whose sum is σ = 434525760. Its totient is φ = 48816000.

The previous prime is 148915127. The next prime is 148915177. The reversal of 148915152 is 251519841.

It is an interprime number because it is at equal distance from previous prime (148915127) and next prime (148915177).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23527 + ... + 29177.

It is an arithmetic number, because the mean of its divisors is an integer number (5431572).

Almost surely, 2148915152 is an apocalyptic number.

148915152 is a gapful number since it is divisible by the number (12) 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 148915152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217262880).

148915152 is an abundant number, since it is smaller than the sum of its proper divisors (285610608).

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

148915152 is a wasteful number, since it uses less digits than its factorization.

148915152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5717 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The square root of 148915152 is about 12203.0796113112. The cubic root of 148915152 is about 530.0452696588.

It can be divided in two parts, 1489 and 15152, that added together give a square (16641 = 1292).

The spelling of 148915152 in words is "one hundred forty-eight million, nine hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4392 5651 6588 8784 11302 13176 16953 22604 26352 33906 45208 50859 67812 90416 101718 135624 152577 203436 271248 305154 344711 406872 610308 689422 813744 1034133 1220616 1378844 2068266 2441232 2757688 3102399 4136532 5515376 6204798 8273064 9307197 12409596 16546128 18614394 24819192 37228788 49638384 74457576 148915152