155008368900 has 1296 divisors, whose sum is σ = 666453594240. Its totient is φ = 30735936000.

The previous prime is 155008368817. The next prime is 155008368913. The reversal of 155008368900 is 9863800551.

155008368900 is a `hidden beast` number, since 1 + 5 + 500 + 83 + 68 + 9 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 368190690 + ... + 368191110.

Almost surely, 2^155008368900 is an apocalyptic number.

155008368900 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 155008368900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333226797120).

155008368900 is an abundant number, since it is smaller than the sum of its proper divisors (511445225340).

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

155008368900 is a wasteful number, since it uses less digits than its factorization.

155008368900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 155008368900 in words is "one hundred fifty-five billion, eight million, three hundred sixty-eight thousand, nine hundred".