153904914438144 has 384 divisors, whose sum is σ = 428276564352000. Its totient is φ = 49105948114944.

The previous prime is 153904914438113. The next prime is 153904914438221. The reversal of 153904914438144 is 441834419409351.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4509488472 + ... + 4509522600.

It is an arithmetic number, because the mean of its divisors is an integer number (1115303553000).

Almost surely, 2^{153904914438144} 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 153904914438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214138282176000).

153904914438144 is an abundant number, since it is smaller than the sum of its proper divisors (274371649913856).

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

153904914438144 is a wasteful number, since it uses less digits than its factorization.

153904914438144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34513 (or 34493 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 153904914438144 in words is "one hundred fifty-three trillion, nine hundred four billion, nine hundred fourteen million, four hundred thirty-eight thousand, one hundred forty-four".