153400315645360 has 240 divisors, whose sum is σ = 436873190826240. Its totient is φ = 49808939281920.

The previous prime is 153400315645309. The next prime is 153400315645429. The reversal of 153400315645360 is 63546513004351.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 153400315645360.

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, 214667055 + ... + 215380465.

It is an arithmetic number, because the mean of its divisors is an integer number (1820304961776).

Almost surely, 2^{153400315645360} is an apocalyptic number.

153400315645360 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 153400315645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218436595413120).

153400315645360 is an abundant number, since it is smaller than the sum of its proper divisors (283472875180880).

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

153400315645360 is a wasteful number, since it uses less digits than its factorization.

153400315645360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716344 (or 716331 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 46.

The spelling of 153400315645360 in words is "one hundred fifty-three trillion, four hundred billion, three hundred fifteen million, six hundred forty-five thousand, three hundred sixty".