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155146752 = 29352943
BaseRepresentation
bin10010011111101…
…01101000000000
3101210221021100000
421033311220000
5304204144002
623221200000
73562503615
oct1117655000
9353837300
10155146752
117a638062
1243b60000
13261b1717
141686850c
15d94961c
hex93f5a00

155146752 has 240 divisors, whose sum is σ = 491531040. Its totient is φ = 48771072.

The previous prime is 155146751. The next prime is 155146769. The reversal of 155146752 is 257641551.

It is a super-2 number, since 2×1551467522 = 48141029312299008, which contains 22 as substring.

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

Its product of digits (42000) is a multiple of the sum of its prime factors (105).

It is not an unprimeable number, because it can be changed into a prime (155146751) 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, 3608043 + ... + 3608085.

It is an arithmetic number, because the mean of its divisors is an integer number (2048046).

Almost surely, 2155146752 is an apocalyptic number.

155146752 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 155146752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245765520).

155146752 is an abundant number, since it is smaller than the sum of its proper divisors (336384288).

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

155146752 is an frugal number, since it uses more digits than its factorization.

155146752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 155146752 is about 12455.7919057762. The cubic root of 155146752 is about 537.3380100997.

The spelling of 155146752 in words is "one hundred fifty-five million, one hundred forty-six thousand, seven hundred fifty-two".