315654153100 has 144 divisors (see below), whose sum is σ = 807573312000. Its totient is φ = 105578092800.

The previous prime is 315654153077. The next prime is 315654153107. The reversal of 315654153100 is 1351456513.

It is a super-2 number, since 2×315654153100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (315654153107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4007901 + ... + 4085899.

It is an arithmetic number, because the mean of its divisors is an integer number (5608148000).

Almost surely, 2^315654153100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315654153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403786656000).

315654153100 is an abundant number, since it is smaller than the sum of its proper divisors (491919158900).

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

315654153100 is a wasteful number, since it uses less digits than its factorization.

315654153100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78320 (or 78313 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 315654153100 in words is "three hundred fifteen billion, six hundred fifty-four million, one hundred fifty-three thousand, one hundred".