155364480 has 288 divisors, whose sum is σ = 572155740. Its totient is φ = 40310784.

The previous prime is 155364437. The next prime is 155364487. The reversal of 155364480 is 84463551.

It is a happy number.

155364480 is a `hidden beast` number, since 1 + 5 + 5 + 3 + 644 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 151585344 + 3779136 = 12312^2 + 1944^2 .

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

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 (155364487) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4199022 + ... + 4199058.

Almost surely, 2^155364480 is an apocalyptic number.

155364480 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 155364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286077870).

155364480 is an abundant number, since it is smaller than the sum of its proper divisors (416791260).

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

155364480 is an frugal number, since it uses more digits than its factorization.

155364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 155364480 is about 12464.5288719630. The cubic root of 155364480 is about 537.5892536117.

The spelling of 155364480 in words is "one hundred fifty-five million, three hundred sixty-four thousand, four hundred eighty".