155752560 has 120 divisors (see below), whose sum is σ = 527220720. Its totient is φ = 41204736.

The previous prime is 155752559. The next prime is 155752577. The reversal of 155752560 is 65257551.

It is a happy number.

155752560 is a `hidden beast` number, since 1 + 5 + 575 + 25 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97851 + ... + 99429.

It is an arithmetic number, because the mean of its divisors is an integer number (4393506).

Almost surely, 2^155752560 is an apocalyptic number.

155752560 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 155752560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263610360).

155752560 is an abundant number, since it is smaller than the sum of its proper divisors (371468160).

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

155752560 is a wasteful number, since it uses less digits than its factorization.

155752560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 155752560 is about 12480.0865381615. The cubic root of 155752560 is about 538.0364904792.

It can be divided in two parts, 15 and 5752560, that added together give a palindrome (5752575).

The spelling of 155752560 in words is "one hundred fifty-five million, seven hundred fifty-two thousand, five hundred sixty".