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152156160 = 21132513127
BaseRepresentation
bin10010001000110…
…11100000000000
3101121022100000100
421010123200000
5302422444120
623033122400
73525206652
oct1104334000
9347270010
10152156160
11789851a2
1242b59400
13256a5440
14162ca6d2
15d558490
hex911b800

152156160 has 288 divisors, whose sum is σ = 572382720. Its totient is φ = 37158912.

The previous prime is 152156149. The next prime is 152156167. The reversal of 152156160 is 61651251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152156167) 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, 1198017 + ... + 1198143.

It is an arithmetic number, because the mean of its divisors is an integer number (1987440).

Almost surely, 2152156160 is an apocalyptic number.

152156160 is a gapful number since it is divisible by the number (10) 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 152156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286191360).

152156160 is an abundant number, since it is smaller than the sum of its proper divisors (420226560).

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

152156160 is a wasteful number, since it uses less digits than its factorization.

152156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152156160 is about 12335.1595044410. The cubic root of 152156160 is about 533.8630292980.

The spelling of 152156160 in words is "one hundred fifty-two million, one hundred fifty-six thousand, one hundred sixty".