153015056942400 has 672 divisors, whose sum is σ = 587570226432000. Its totient is φ = 38629050439680.

The previous prime is 153015056942369. The next prime is 153015056942401. The reversal of 153015056942400 is 4249650510351.

It is a happy number.

153015056942400 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 1 + 5 + 0 + 569 + 42 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153015056942401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171216281 + ... + 1171346919.

It is an arithmetic number, because the mean of its divisors is an integer number (874360456000).

Almost surely, 2^{153015056942400} is an apocalyptic number.

153015056942400 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 153015056942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293785113216000).

153015056942400 is an abundant number, since it is smaller than the sum of its proper divisors (434555169489600).

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

153015056942400 is a wasteful number, since it uses less digits than its factorization.

153015056942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132116 (or 132095 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 153015056942400 in words is "one hundred fifty-three trillion, fifteen billion, fifty-six million, nine hundred forty-two thousand, four hundred".