152993280600 has 192 divisors, whose sum is σ = 534843446400. Its totient is φ = 40189184640.

The previous prime is 152993280553. The next prime is 152993280619. The reversal of 152993280600 is 6082399251.

152993280600 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 9 + 32 + 8 + 0 + 600 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150367 + ... + 573233.

It is an arithmetic number, because the mean of its divisors is an integer number (2785642950).

Almost surely, 2^152993280600 is an apocalyptic number.

152993280600 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 152993280600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267421723200).

152993280600 is an abundant number, since it is smaller than the sum of its proper divisors (381850165800).

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

152993280600 is a wasteful number, since it uses less digits than its factorization.

152993280600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422959 (or 422944 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 152993280600 in words is "one hundred fifty-two billion, nine hundred ninety-three million, two hundred eighty thousand, six hundred".