152087040 has 480 divisors, whose sum is σ = 643458816. Its totient is φ = 32440320.

The previous prime is 152087029. The next prime is 152087053. The reversal of 152087040 is 40780251.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×152087040³ (a number of 26 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 152086995 and 152087013.

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 47 ways as a sum of consecutive naturals, for example, 3709420 + ... + 3709460.

Almost surely, 2^152087040 is an apocalyptic number.

152087040 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 152087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

152087040 is an abundant number, since it is smaller than the sum of its proper divisors (491371776).

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

152087040 is a wasteful number, since it uses less digits than its factorization.

152087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 152087040 is about 12332.3574388679. The cubic root of 152087040 is about 533.7821777097.

152087040 divided by its product of nonzero digits (2240) gives a triangular number (67896 = T₃₆₈).

The spelling of 152087040 in words is "one hundred fifty-two million, eighty-seven thousand, forty".