155286331200 has 3528 divisors, whose sum is σ = 824137564320. Its totient is φ = 28217548800.

The previous prime is 155286331183. The next prime is 155286331243. The reversal of 155286331200 is 2133682551.

155286331200 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 8 + 633 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

It is a super-2 number, since 2×155286331200² (a number of 23 digits) contains 22 as substring.

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 503 ways as a sum of consecutive naturals, for example, 8172964791 + ... + 8172964809.

Almost surely, 2^155286331200 is an apocalyptic number.

155286331200 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 155286331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412068782160).

155286331200 is an abundant number, since it is smaller than the sum of its proper divisors (668851233120).

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

155286331200 is a wasteful number, since it uses less digits than its factorization.

155286331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

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

The spelling of 155286331200 in words is "one hundred fifty-five billion, two hundred eighty-six million, three hundred thirty-one thousand, two hundred".