152813552640 has 1056 divisors, whose sum is σ = 613343821824. Its totient is φ = 31770869760.

The previous prime is 152813552599. The next prime is 152813552641. The reversal of 152813552640 is 46255318251.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 152813552592 and 152813552601.

It is not an unprimeable number, because it can be changed into a prime (152813552641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1203256257 + ... + 1203256383.

Almost surely, 2^152813552640 is an apocalyptic number.

152813552640 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 152813552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306671910912).

152813552640 is an abundant number, since it is smaller than the sum of its proper divisors (460530269184).

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

152813552640 is a wasteful number, since it uses less digits than its factorization.

152813552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 152813552640 in words is "one hundred fifty-two billion, eight hundred thirteen million, five hundred fifty-two thousand, six hundred forty".