153365154345440 has 96 divisors (see below), whose sum is σ = 367345651339296. Its totient is φ = 60496295731200.

The previous prime is 153365154345439. The next prime is 153365154345479. The reversal of 153365154345440 is 44543451563351.

153365154345440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74329964 + ... + 76365396.

It is an arithmetic number, because the mean of its divisors is an integer number (3826517201451).

Almost surely, 2^{153365154345440} is an apocalyptic number.

153365154345440 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 153365154345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183672825669648).

153365154345440 is an abundant number, since it is smaller than the sum of its proper divisors (213980496993856).

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

153365154345440 is a wasteful number, since it uses less digits than its factorization.

153365154345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041972 (or 2041964 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 53.

The spelling of 153365154345440 in words is "one hundred fifty-three trillion, three hundred sixty-five billion, one hundred fifty-four million, three hundred forty-five thousand, four hundred forty".