152483760 has 240 divisors, whose sum is σ = 602023968. Its totient is φ = 34099200.

The previous prime is 152483743. The next prime is 152483783. The reversal of 152483760 is 67384251.

152483760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102220 + ... + 103700.

Almost surely, 2^152483760 is an apocalyptic number.

152483760 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 152483760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301011984).

152483760 is an abundant number, since it is smaller than the sum of its proper divisors (449540208).

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

152483760 is a wasteful number, since it uses less digits than its factorization.

152483760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 152483760 is about 12348.4314793418. The cubic root of 152483760 is about 534.2458994582.

The spelling of 152483760 in words is "one hundred fifty-two million, four hundred eighty-three thousand, seven hundred sixty".