155369750400 has 768 divisors, whose sum is σ = 598756320000. Its totient is φ = 39287808000.

The previous prime is 155369750383. The next prime is 155369750407. The reversal of 155369750400 is 4057963551.

155369750400 is a `hidden beast` number, since 1 + 5 + 53 + 6 + 97 + 504 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155369750407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147829875 + ... + 147830925.

It is an arithmetic number, because the mean of its divisors is an integer number (779630625).

Almost surely, 2^155369750400 is an apocalyptic number.

155369750400 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 155369750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299378160000).

155369750400 is an abundant number, since it is smaller than the sum of its proper divisors (443386569600).

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

155369750400 is a wasteful number, since it uses less digits than its factorization.

155369750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 155369750400 in words is "one hundred fifty-five billion, three hundred sixty-nine million, seven hundred fifty thousand, four hundred".