152649 has 12 divisors (see below), whose sum is σ = 252096. Its totient is φ = 87192.

The previous prime is 152641. The next prime is 152657. The reversal of 152649 is 946251.

152649 is a `hidden beast` number, since 15 + 2 + 649 = 666.

It is an interprime number because it is at equal distance from previous prime (152641) and next prime (152657).

It is not a de Polignac number, because 152649 - 2³ = 152641 is a prime.

152649 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (152641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1149 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (21008).

2¹⁵²⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

152649 is a deficient number, since it is larger than the sum of its proper divisors (99447).

152649 is a wasteful number, since it uses less digits than its factorization.

152649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2433 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 152649 is about 390.7032121701. The cubic root of 152649 is about 53.4438809452.

It can be divided in two parts, 1 and 52649, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 152649 in words is "one hundred fifty-two thousand, six hundred forty-nine".