153083040 has 192 divisors, whose sum is σ = 534159360. Its totient is φ = 36541440.

The previous prime is 153083017. The next prime is 153083041. The reversal of 153083040 is 40380351.

153083040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153083040.

It is not an unprimeable number, because it can be changed into a prime (153083041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416937 + ... + 417303.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 2^153083040 is an apocalyptic number.

153083040 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 153083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267079680).

153083040 is an abundant number, since it is smaller than the sum of its proper divisors (381076320).

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

153083040 is a wasteful number, since it uses less digits than its factorization.

153083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 153083040 is about 12372.6731145699. The cubic root of 153083040 is about 534.9448686894.

The spelling of 153083040 in words is "one hundred fifty-three million, eighty-three thousand, forty".