153121683960 has 1280 divisors, whose sum is σ = 672025559040. Its totient is φ = 30437130240.

The previous prime is 153121683941. The next prime is 153121683971. The reversal of 153121683960 is 69386121351.

153121683960 is a `hidden beast` number, since 1 + 531 + 21 + 6 + 8 + 3 + 96 + 0 = 666.

It is a super-2 number, since 2×153121683960² (a number of 23 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 274904002 + ... + 274904558.

It is an arithmetic number, because the mean of its divisors is an integer number (525019968).

Almost surely, 2^153121683960 is an apocalyptic number.

153121683960 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 153121683960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336012779520).

153121683960 is an abundant number, since it is smaller than the sum of its proper divisors (518903875080).

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

153121683960 is a wasteful number, since it uses less digits than its factorization.

153121683960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 645 counting only the distinct ones).

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

The spelling of 153121683960 in words is "one hundred fifty-three billion, one hundred twenty-one million, six hundred eighty-three thousand, nine hundred sixty".