153023605740400 has 180 divisors, whose sum is σ = 372616877238312. Its totient is φ = 60391614666240.

The previous prime is 153023605740389. The next prime is 153023605740433. The reversal of 153023605740400 is 4047506320351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3627248107 + ... + 3627290293.

Almost surely, 2^{153023605740400} is an apocalyptic number.

153023605740400 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 153023605740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186308438619156).

153023605740400 is an abundant number, since it is smaller than the sum of its proper divisors (219593271497912).

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

153023605740400 is a wasteful number, since it uses less digits than its factorization.

153023605740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43816 (or 43726 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 153023605740400 in words is "one hundred fifty-three trillion, twenty-three billion, six hundred five million, seven hundred forty thousand, four hundred".