155964000 has 192 divisors, whose sum is σ = 525051072. Its totient is φ = 40448000.

The previous prime is 155963993. The next prime is 155964013. The reversal of 155964000 is 469551.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491842 + ... + 492158.

It is an arithmetic number, because the mean of its divisors is an integer number (2734641).

Almost surely, 2^155964000 is an apocalyptic number.

155964000 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 155964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262525536).

155964000 is an abundant number, since it is smaller than the sum of its proper divisors (369087072).

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

155964000 is a wasteful number, since it uses less digits than its factorization.

155964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 155964000 is about 12488.5547602595. The cubic root of 155964000 is about 538.2798486952.

The spelling of 155964000 in words is "one hundred fifty-five million, nine hundred sixty-four thousand".