155755460160 has 168 divisors, whose sum is σ = 537670696056. Its totient is φ = 41384632320.

The previous prime is 155755460089. The next prime is 155755460197. The reversal of 155755460160 is 61064557551.

It is a happy number.

155755460160 is a `hidden beast` number, since 1 + 5 + 575 + 5 + 4 + 60 + 16 + 0 = 666.

155755460160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 229340736 + 155526119424 = 15144^2 + 394368^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 700140 + ... + 895380.

Almost surely, 2^155755460160 is an apocalyptic number.

155755460160 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 155755460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268835348028).

155755460160 is an abundant number, since it is smaller than the sum of its proper divisors (381915235896).

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

155755460160 is a wasteful number, since it uses less digits than its factorization.

155755460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195541 (or 195528 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 155755460160 in words is "one hundred fifty-five billion, seven hundred fifty-five million, four hundred sixty thousand, one hundred sixty".