152059602240 has 2352 divisors, whose sum is σ = 731589494400. Its totient is φ = 29346250752.

The previous prime is 152059602199. The next prime is 152059602241. The reversal of 152059602240 is 42206950251.

152059602240 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 5 + 9 + 602 + 2 + 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 = 152059602195 and 152059602204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152059602241) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5243434546 + ... + 5243434574.

Almost surely, 2^152059602240 is an apocalyptic number.

152059602240 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 152059602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365794747200).

152059602240 is an abundant number, since it is smaller than the sum of its proper divisors (579529892160).

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

152059602240 is a wasteful number, since it uses less digits than its factorization.

152059602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 152059602240 in words is "one hundred fifty-two billion, fifty-nine million, six hundred two thousand, two hundred forty".