153149463720 has 320 divisors, whose sum is σ = 562232404800. Its totient is φ = 37081912320.

The previous prime is 153149463713. The next prime is 153149463737. The reversal of 153149463720 is 27364941351.

153149463720 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 4 + 9 + 4 + 637 + 2 + 0 = 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 79 ways as a sum of consecutive naturals, for example, 36315052 + ... + 36319268.

It is an arithmetic number, because the mean of its divisors is an integer number (1756976265).

Almost surely, 2^153149463720 is an apocalyptic number.

153149463720 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 153149463720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281116202400).

153149463720 is an abundant number, since it is smaller than the sum of its proper divisors (409082941080).

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

153149463720 is a wasteful number, since it uses less digits than its factorization.

153149463720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 153149463720 in words is "one hundred fifty-three billion, one hundred forty-nine million, four hundred sixty-three thousand, seven hundred twenty".