155251600 has 135 divisors (see below), whose sum is σ = 438818547. Its totient is φ = 52631040.

The previous prime is 155251573. The next prime is 155251601. The reversal of 155251600 is 6152551.

The square root of 155251600 is 12460.

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

It can be written as a sum of positive squares in 4 ways, for example, as 32307856 + 122943744 = 5684^2 + 11088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155251601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1744356 + ... + 1744444.

Almost surely, 2^155251600 is an apocalyptic number.

155251600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155251600 is the 12460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155251600

155251600 is an abundant number, since it is smaller than the sum of its proper divisors (283566947).

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

155251600 is an equidigital number, since it uses as much as digits as its factorization.

155251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The cubic root of 155251600 is about 537.4590269831.

Multiplying 155251600 by its sum of digits (25), we get a square (3881290000 = 62300²).

155251600 divided by its sum of digits (25) gives a square (6210064 = 2492²).

The spelling of 155251600 in words is "one hundred fifty-five million, two hundred fifty-one thousand, six hundred".