155133921600 has 1512 divisors, whose sum is σ = 705757328640. Its totient is φ = 33303674880.

The previous prime is 155133921539. The next prime is 155133921629. The reversal of 155133921600 is 6129331551.

It is a happy number.

155133921600 is a `hidden beast` number, since 1 + 5 + 5 + 13 + 39 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 323870161 + ... + 323870639.

It is an arithmetic number, because the mean of its divisors is an integer number (466770720).

Almost surely, 2^155133921600 is an apocalyptic number.

155133921600 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 155133921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352878664320).

155133921600 is an abundant number, since it is smaller than the sum of its proper divisors (550623407040).

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

155133921600 is a wasteful number, since it uses less digits than its factorization.

155133921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 155133921600 in words is "one hundred fifty-five billion, one hundred thirty-three million, nine hundred twenty-one thousand, six hundred".