153131485416 has 384 divisors, whose sum is σ = 514840780800. Its totient is φ = 37022469120.

The previous prime is 153131485373. The next prime is 153131485427. The reversal of 153131485416 is 614584131351.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16718310 + ... + 16727466.

It is an arithmetic number, because the mean of its divisors is an integer number (1340731200).

Almost surely, 2^153131485416 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 153131485416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257420390400).

153131485416 is an abundant number, since it is smaller than the sum of its proper divisors (361709295384).

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

153131485416 is a wasteful number, since it uses less digits than its factorization.

153131485416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249 (or 9232 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The spelling of 153131485416 in words is "one hundred fifty-three billion, one hundred thirty-one million, four hundred eighty-five thousand, four hundred sixteen".