152037942312960 has 960 divisors, whose sum is σ = 620743919846400. Its totient is φ = 34917698764800.

The previous prime is 152037942312931. The next prime is 152037942313013. The reversal of 152037942312960 is 69213249730251.

It is a happy number.

152037942312960 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 37 + 9 + 423 + 129 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 152037942312897 and 152037942312906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462110115 + ... + 462439005.

It is an arithmetic number, because the mean of its divisors is an integer number (646608249840).

Almost surely, 2^{152037942312960} is an apocalyptic number.

152037942312960 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 152037942312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310371959923200).

152037942312960 is an abundant number, since it is smaller than the sum of its proper divisors (468705977533440).

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

152037942312960 is a wasteful number, since it uses less digits than its factorization.

152037942312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328963 (or 328931 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 152037942312960 in words is "one hundred fifty-two trillion, thirty-seven billion, nine hundred forty-two million, three hundred twelve thousand, nine hundred sixty".