153379040 has 48 divisors (see below), whose sum is σ = 366463440. Its totient is φ = 60656640.

The previous prime is 153379033. The next prime is 153379067. The reversal of 153379040 is 40973351.

It is a happy number.

It is a super-2 number, since 2×153379040² = 47050259822643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 153378988 and 153379006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8855 + ... + 19625.

It is an arithmetic number, because the mean of its divisors is an integer number (7634655).

Almost surely, 2^153379040 is an apocalyptic number.

153379040 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 153379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183231720).

153379040 is an abundant number, since it is smaller than the sum of its proper divisors (213084400).

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

153379040 is a wasteful number, since it uses less digits than its factorization.

153379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10875 (or 10867 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 153379040 is about 12384.6291829832. The cubic root of 153379040 is about 535.2894349093.

The spelling of 153379040 in words is "one hundred fifty-three million, three hundred seventy-nine thousand, forty".