152054560 has 96 divisors (see below), whose sum is σ = 414167040. Its totient is φ = 51674112.

The previous prime is 152054543. The next prime is 152054561. The reversal of 152054560 is 65450251.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (152054561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141706 + ... + 142774.

It is an arithmetic number, because the mean of its divisors is an integer number (4314240).

Almost surely, 2^152054560 is an apocalyptic number.

152054560 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 152054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207083520).

152054560 is an abundant number, since it is smaller than the sum of its proper divisors (262112480).

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

152054560 is a wasteful number, since it uses less digits than its factorization.

152054560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 152054560 is about 12331.0405075971. The cubic root of 152054560 is about 533.7441764891.

The spelling of 152054560 in words is "one hundred fifty-two million, fifty-four thousand, five hundred sixty".