152645920 has 96 divisors (see below), whose sum is σ = 418013568. Its totient is φ = 51591168.

The previous prime is 152645903. The next prime is 152645929. The reversal of 152645920 is 29546251.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (152645929) 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, 80827 + ... + 82693.

It is an arithmetic number, because the mean of its divisors is an integer number (4354308).

Almost surely, 2^152645920 is an apocalyptic number.

152645920 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 152645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209006784).

152645920 is an abundant number, since it is smaller than the sum of its proper divisors (265367648).

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

152645920 is a wasteful number, since it uses less digits than its factorization.

152645920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 152645920 is about 12354.9957507075. The cubic root of 152645920 is about 534.4352149694.

The spelling of 152645920 in words is "one hundred fifty-two million, six hundred forty-five thousand, nine hundred twenty".