153402460564304 has 120 divisors (see below), whose sum is σ = 360864891383040. Its totient is φ = 62869780630272.

The previous prime is 153402460564303. The next prime is 153402460564321. The reversal of 153402460564304 is 403465064204351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153402460564303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71302457 + ... + 73422375.

It is an arithmetic number, because the mean of its divisors is an integer number (3007207428192).

Almost surely, 2^{153402460564304} is an apocalyptic number.

153402460564304 is a gapful number since it is divisible by the number (14) 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 153402460564304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180432445691520).

153402460564304 is an abundant number, since it is smaller than the sum of its proper divisors (207462430818736).

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

153402460564304 is a wasteful number, since it uses less digits than its factorization.

153402460564304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123977 (or 2123964 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 47.

The spelling of 153402460564304 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty million, five hundred sixty-four thousand, three hundred four".