155289600 has 216 divisors, whose sum is σ = 557796330. Its totient is φ = 41287680.

The previous prime is 155289599. The next prime is 155289601. The reversal of 155289600 is 6982551.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (155289599) and next prime (155289601).

It can be written as a sum of positive squares in 3 ways, for example, as 97772544 + 57517056 = 9888^2 + 7584^2 .

It is a super-2 number, since 2×155289600² = 48229719736320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155289601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460632 + ... + 460968.

Almost surely, 2^155289600 is an apocalyptic number.

155289600 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 155289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278898165).

155289600 is an abundant number, since it is smaller than the sum of its proper divisors (402506730).

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

155289600 is a wasteful number, since it uses less digits than its factorization.

155289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 155289600 is about 12461.5247863173. The cubic root of 155289600 is about 537.5028736100.

The spelling of 155289600 in words is "one hundred fifty-five million, two hundred eighty-nine thousand, six hundred".