155750400 has 351 divisors, whose sum is σ = 604078059. Its totient is φ = 38338560.

The previous prime is 155750393. The next prime is 155750407. The reversal of 155750400 is 4057551.

The square root of 155750400 is 12480.

It is a perfect power (a square), and thus also a powerful number.

155750400 is a `hidden beast` number, since 155 + 7 + 504 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (155750393) and next prime (155750407).

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 115605504 = 6336^2 + 10752^2 .

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (155750407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11980794 + ... + 11980806.

Almost surely, 2^155750400 is an apocalyptic number.

155750400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155750400 is the 12480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155750400

155750400 is an abundant number, since it is smaller than the sum of its proper divisors (448327659).

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

155750400 is a wasteful number, since it uses less digits than its factorization.

155750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The cubic root of 155750400 is about 538.0340032773.

The spelling of 155750400 in words is "one hundred fifty-five million, seven hundred fifty thousand, four hundred".