152088480 has 144 divisors (see below), whose sum is σ = 535901184. Its totient is φ = 39237120.

The previous prime is 152088479. The next prime is 152088491. The reversal of 152088480 is 84880251.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42937 + ... + 46343.

It is an arithmetic number, because the mean of its divisors is an integer number (3721536).

Almost surely, 2^152088480 is an apocalyptic number.

152088480 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 152088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267950592).

152088480 is an abundant number, since it is smaller than the sum of its proper divisors (383812704).

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

152088480 is a wasteful number, since it uses less digits than its factorization.

152088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 152088480 is about 12332.4158217277. The cubic root of 152088480 is about 533.7838623676.

It can be divided in two parts, 1520 and 88480, that added together give a square (90000 = 300²).

The spelling of 152088480 in words is "one hundred fifty-two million, eighty-eight thousand, four hundred eighty".