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149335164 = 22351113967
BaseRepresentation
bin10001110011010…
…10110001111100
3101102000000100000
420321222301330
5301212211124
622452434300
73462220326
oct1071526174
9342000300
10149335164
11773287a0
1242018990
1324c28404
1415b94616
15d19c6c9
hex8e6ac7c

149335164 has 72 divisors (see below), whose sum is σ = 427085568. Its totient is φ = 45249840.

The previous prime is 149335163. The next prime is 149335189. The reversal of 149335164 is 461533941.

149335164 is a `hidden beast` number, since 1 + 493 + 3 + 5 + 164 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149335163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3709 + ... + 17675.

It is an arithmetic number, because the mean of its divisors is an integer number (5931744).

Almost surely, 2149335164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149335164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213542784).

149335164 is an abundant number, since it is smaller than the sum of its proper divisors (277750404).

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

149335164 is a wasteful number, since it uses less digits than its factorization.

149335164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13997 (or 13983 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 149335164 is about 12220.2767562768. The cubic root of 149335164 is about 530.5431289986.

The spelling of 149335164 in words is "one hundred forty-nine million, three hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 13967 27934 41901 55868 83802 125703 153637 167604 251406 307274 377109 460911 502812 614548 754218 921822 1131327 1382733 1508436 1843644 2262654 2765466 3393981 4148199 4525308 5530932 6787962 8296398 12444597 13575924 16592796 24889194 37333791 49778388 74667582 149335164