155413011237120 has 648 divisors, whose sum is σ = 673618302387576. Its totient is φ = 32790435987456.

The previous prime is 155413011237101. The next prime is 155413011237173. The reversal of 155413011237120 is 21732110314551.

155413011237120 is a `hidden beast` number, since 1 + 5 + 5 + 413 + 0 + 1 + 1 + 237 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19883180411136 + 135529830825984 = 4459056^2 + 11641728^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 3251017 + ... + 17927496.

Almost surely, 2^{155413011237120} is an apocalyptic number.

155413011237120 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 155413011237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336809151193788).

155413011237120 is an abundant number, since it is smaller than the sum of its proper divisors (518205291150456).

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

155413011237120 is a wasteful number, since it uses less digits than its factorization.

155413011237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21178567 (or 21178543 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 155413011237120 in words is "one hundred fifty-five trillion, four hundred thirteen billion, eleven million, two hundred thirty-seven thousand, one hundred twenty".