155766400 has 48 divisors (see below), whose sum is σ = 384799590. Its totient is φ = 62305280.

The previous prime is 155766361. The next prime is 155766407. The reversal of 155766400 is 4667551.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 118897216 + 36869184 = 10904^2 + 6072^2 .

It is not an unprimeable number, because it can be changed into a prime (155766407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21139 + ... + 27538.

Almost surely, 2^155766400 is an apocalyptic number.

155766400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155766400 is an abundant number, since it is smaller than the sum of its proper divisors (229033190).

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

155766400 is an equidigital number, since it uses as much as digits as its factorization.

155766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48701 (or 48684 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 155766400 is about 12480.6410091790. The cubic root of 155766400 is about 538.0524264495.

The spelling of 155766400 in words is "one hundred fifty-five million, seven hundred sixty-six thousand, four hundred".