155971200 has 384 divisors, whose sum is σ = 643530240. Its totient is φ = 32256000.

The previous prime is 155971177. The next prime is 155971217. The reversal of 155971200 is 2179551.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739095 + ... + 739305.

It is an arithmetic number, because the mean of its divisors is an integer number (1675860).

Almost surely, 2^155971200 is an apocalyptic number.

155971200 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 155971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321765120).

155971200 is an abundant number, since it is smaller than the sum of its proper divisors (487559040).

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

155971200 is a wasteful number, since it uses less digits than its factorization.

155971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 155971200 is about 12488.8430208727. The cubic root of 155971200 is about 538.2881317077.

The spelling of 155971200 in words is "one hundred fifty-five million, nine hundred seventy-one thousand, two hundred".