152933235840 has 1728 divisors, whose sum is σ = 704895871680. Its totient is φ = 31039303680.

The previous prime is 152933235839. The next prime is 152933235869. The reversal of 152933235840 is 48532339251.

152933235840 is a `hidden beast` number, since 1 + 5 + 293 + 3 + 2 + 358 + 4 + 0 = 666.

152933235840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3556586859 + ... + 3556586901.

Almost surely, 2^152933235840 is an apocalyptic number.

152933235840 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 152933235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352447935840).

152933235840 is an abundant number, since it is smaller than the sum of its proper divisors (551962635840).

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

152933235840 is an frugal number, since it uses more digits than its factorization.

152933235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 152933235840 in words is "one hundred fifty-two billion, nine hundred thirty-three million, two hundred thirty-five thousand, eight hundred forty".