152651292480 has 336 divisors, whose sum is σ = 538484454144. Its totient is φ = 39673344000.

The previous prime is 152651292467. The next prime is 152651292499. The reversal of 152651292480 is 84292156251.

152651292480 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 512 + 92 + 48 + 0 = 666.

152651292480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 33973114 + ... + 33977606.

It is an arithmetic number, because the mean of its divisors is an integer number (1602632304).

Almost surely, 2^152651292480 is an apocalyptic number.

152651292480 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 152651292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269242227072).

152651292480 is an abundant number, since it is smaller than the sum of its proper divisors (385833161664).

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

152651292480 is a wasteful number, since it uses less digits than its factorization.

152651292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 152651292480 in words is "one hundred fifty-two billion, six hundred fifty-one million, two hundred ninety-two thousand, four hundred eighty".