152641355040 has 384 divisors, whose sum is σ = 546950154240. Its totient is φ = 39747456000.

The previous prime is 152641355033. The next prime is 152641355057. The reversal of 152641355040 is 40553146251.

152641355040 is a `hidden beast` number, since 1 + 5 + 2 + 64 + 1 + 3 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152641354986 and 152641355004.

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, 32816715 + ... + 32821365.

It is an arithmetic number, because the mean of its divisors is an integer number (1424349360).

Almost surely, 2^152641355040 is an apocalyptic number.

152641355040 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 152641355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273475077120).

152641355040 is an abundant number, since it is smaller than the sum of its proper divisors (394308799200).

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

152641355040 is a wasteful number, since it uses less digits than its factorization.

152641355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 152641355040 in words is "one hundred fifty-two billion, six hundred forty-one million, three hundred fifty-five thousand, forty".