152041968 has 80 divisors (see below), whose sum is σ = 470004640. Its totient is φ = 46780416.

The previous prime is 152041963. The next prime is 152041969. The reversal of 152041968 is 869140251.

152041968 is a `hidden beast` number, since 1 + 520 + 41 + 96 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152041963) 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, 7921 + ... + 19152.

It is an arithmetic number, because the mean of its divisors is an integer number (5875058).

Almost surely, 2^152041968 is an apocalyptic number.

152041968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152041968 is an abundant number, since it is smaller than the sum of its proper divisors (317962672).

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

152041968 is a wasteful number, since it uses less digits than its factorization.

152041968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27103 (or 27091 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 152041968 is about 12330.5299156200. The cubic root of 152041968 is about 533.7294425405.

The spelling of 152041968 in words is "one hundred fifty-two million, forty-one thousand, nine hundred sixty-eight".