155873952 has 288 divisors, whose sum is σ = 528353280. Its totient is φ = 43130880.

The previous prime is 155873947. The next prime is 155873953. The reversal of 155873952 is 259378551.

155873952 is a `hidden beast` number, since 1 + 558 + 7 + 3 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 155873898 and 155873907.

It is not an unprimeable number, because it can be changed into a prime (155873953) 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 47 ways as a sum of consecutive naturals, for example, 1973049 + ... + 1973127.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^155873952 is an apocalyptic number.

155873952 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 155873952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

155873952 is an abundant number, since it is smaller than the sum of its proper divisors (372479328).

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

155873952 is a wasteful number, since it uses less digits than its factorization.

155873952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 155873952 is about 12484.9490187185. The cubic root of 155873952 is about 538.1762342814.

The spelling of 155873952 in words is "one hundred fifty-five million, eight hundred seventy-three thousand, nine hundred fifty-two".