155820672 has 320 divisors, whose sum is σ = 562795200. Its totient is φ = 41803776.

The previous prime is 155820667. The next prime is 155820677. The reversal of 155820672 is 276028551.

It is a happy number.

155820672 is a `hidden beast` number, since 1 + 5 + 582 + 0 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (155820667) and next prime (155820677).

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

It is not an unprimeable number, because it can be changed into a prime (155820677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378888 + ... + 1379000.

It is an arithmetic number, because the mean of its divisors is an integer number (1758735).

Almost surely, 2^155820672 is an apocalyptic number.

155820672 is a gapful number since it is divisible by the number (12) 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 155820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281397600).

155820672 is an abundant number, since it is smaller than the sum of its proper divisors (406974528).

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

155820672 is a wasteful number, since it uses less digits than its factorization.

155820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 155820672 is about 12482.8150671233. The cubic root of 155820672 is about 538.1149084536.

The spelling of 155820672 in words is "one hundred fifty-five million, eight hundred twenty thousand, six hundred seventy-two".