152607 has 24 divisors (see below), whose sum is σ = 257664. Its totient is φ = 78624.

The previous prime is 152599. The next prime is 152617. The reversal of 152607 is 706251.

152607 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152607 - 2³ = 152599 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

152607 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3528 + ... + 3570.

It is an arithmetic number, because the mean of its divisors is an integer number (10736).

2¹⁵²⁶⁰⁷ is an apocalyptic number.

152607 is a deficient number, since it is larger than the sum of its proper divisors (105057).

152607 is a wasteful number, since it uses less digits than its factorization.

152607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 152607 is about 390.6494592342. The cubic root of 152607 is about 53.4389789612.

Adding to 152607 its sum of digits (21), we get a triangular number (152628 = T₅₅₂).

Adding to 152607 its reverse (706251), we get a palindrome (858858).

The spelling of 152607 in words is "one hundred fifty-two thousand, six hundred seven".