153359040 has 112 divisors (see below), whose sum is σ = 515611872. Its totient is φ = 38486016.

The previous prime is 153359029. The next prime is 153359053. The reversal of 153359040 is 40953351.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 153358989 and 153359007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11622 + ... + 21018.

Almost surely, 2^153359040 is an apocalyptic number.

153359040 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 153359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257805936).

153359040 is an abundant number, since it is smaller than the sum of its proper divisors (362252832).

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

153359040 is a wasteful number, since it uses less digits than its factorization.

153359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 153359040 is about 12383.8217041429. The cubic root of 153359040 is about 535.2661673797.

The spelling of 153359040 in words is "one hundred fifty-three million, three hundred fifty-nine thousand, forty".