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152065152 = 2732132001
BaseRepresentation
bin10010001000001…
…01010010000000
3101121010201011200
421010011102000
5302412041102
623031141200
73524350431
oct1104052200
9347121150
10152065152
1178922888
1242b14800
1325672ba5
14162a5488
15d53b51c
hex9105480

152065152 has 48 divisors (see below), whose sum is σ = 437586630. Its totient is φ = 50688000.

The previous prime is 152065141. The next prime is 152065201. The reversal of 152065152 is 251560251.

152065152 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 651 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96353856 + 55711296 = 9816^2 + 7464^2 .

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

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64849 + ... + 67152.

Almost surely, 2152065152 is an apocalyptic number.

152065152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152065152 is an abundant number, since it is smaller than the sum of its proper divisors (285521478).

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

152065152 is a wasteful number, since it uses less digits than its factorization.

152065152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132021 (or 132006 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 152065152 is about 12331.4699853667. The cubic root of 152065152 is about 533.7565696000.

The spelling of 152065152 in words is "one hundred fifty-two million, sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 132001 264002 396003 528004 792006 1056008 1188009 1584012 2112016 2376018 3168024 4224032 4752036 6336048 8448064 9504072 12672096 16896128 19008144 25344192 38016288 50688384 76032576 152065152