152014600 has 48 divisors (see below), whose sum is σ = 360127620. Its totient is φ = 59654400.

The previous prime is 152014529. The next prime is 152014619. The reversal of 152014600 is 6410251.

It can be written as a sum of positive squares in 6 ways, for example, as 26440164 + 125574436 = 5142^2 + 11206^2 .

It is a super-2 number, since 2×152014600² = 46216877226320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3430 + ... + 17770.

Almost surely, 2^152014600 is an apocalyptic number.

152014600 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 152014600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180063810).

152014600 is an abundant number, since it is smaller than the sum of its proper divisors (208113020).

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

152014600 is a wasteful number, since it uses less digits than its factorization.

152014600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14410 (or 14401 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 152014600 is about 12329.4200999074. The cubic root of 152014600 is about 533.6974163307.

Adding to 152014600 its reverse (6410251), we get a palindrome (158424851).

The spelling of 152014600 in words is "one hundred fifty-two million, fourteen thousand, six hundred".