152819940 has 144 divisors (see below), whose sum is σ = 529780608. Its totient is φ = 32228352.

The previous prime is 152819921. The next prime is 152819959. The reversal of 152819940 is 49918251.

152819940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152819921) and next prime (152819959).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69904 + ... + 72056.

It is an arithmetic number, because the mean of its divisors is an integer number (3679032).

Almost surely, 2^152819940 is an apocalyptic number.

152819940 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 152819940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264890304).

152819940 is an abundant number, since it is smaller than the sum of its proper divisors (376960668).

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

152819940 is a wasteful number, since it uses less digits than its factorization.

152819940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 152819940 is about 12362.0362400375. The cubic root of 152819940 is about 534.6382274854.

The spelling of 152819940 in words is "one hundred fifty-two million, eight hundred nineteen thousand, nine hundred forty".