152403768 has 96 divisors (see below), whose sum is σ = 467026560. Its totient is φ = 46176480.

The previous prime is 152403767. The next prime is 152403799. The reversal of 152403768 is 867304251.

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 (152403767) 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, 17821 + ... + 24947.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^152403768 is an apocalyptic number.

152403768 is a gapful number since it is divisible by the number (18) 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 152403768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

152403768 is an abundant number, since it is smaller than the sum of its proper divisors (314622792).

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

152403768 is a wasteful number, since it uses less digits than its factorization.

152403768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159 (or 7143 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 152403768 is about 12345.1921005710. The cubic root of 152403768 is about 534.1524624630.

The spelling of 152403768 in words is "one hundred fifty-two million, four hundred three thousand, seven hundred sixty-eight".