153942405120 has 832 divisors, whose sum is σ = 634478791680. Its totient is φ = 35115171840.

The previous prime is 153942405109. The next prime is 153942405137. The reversal of 153942405120 is 21504249351.

153942405120 is a `hidden beast` number, since 1 + 5 + 394 + 240 + 5 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313528075 + ... + 313528565.

Almost surely, 2^153942405120 is an apocalyptic number.

153942405120 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 153942405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317239395840).

153942405120 is an abundant number, since it is smaller than the sum of its proper divisors (480536386560).

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

153942405120 is an frugal number, since it uses more digits than its factorization.

153942405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 153942405120 in words is "one hundred fifty-three billion, nine hundred forty-two million, four hundred five thousand, one hundred twenty".