152642249280 has 448 divisors, whose sum is σ = 573254184960. Its totient is φ = 38102630400.

The previous prime is 152642249251. The next prime is 152642249303. The reversal of 152642249280 is 82942246251.

152642249280 is a `hidden beast` number, since 1 + 5 + 2 + 64 + 22 + 492 + 80 = 666.

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

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, 28051360 + ... + 28056800.

Almost surely, 2^152642249280 is an apocalyptic number.

152642249280 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 152642249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286627092480).

152642249280 is an abundant number, since it is smaller than the sum of its proper divisors (420611935680).

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

152642249280 is a wasteful number, since it uses less digits than its factorization.

152642249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 152642249280 in words is "one hundred fifty-two billion, six hundred forty-two million, two hundred forty-nine thousand, two hundred eighty".