153409140 has 120 divisors (see below), whose sum is σ = 484395912. Its totient is φ = 40642560.

The previous prime is 153409129. The next prime is 153409153. The reversal of 153409140 is 41904351.

153409140 is a `hidden beast` number, since 1 + 534 + 0 + 91 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 140707044 = 3564^2 + 11862^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 455052 + ... + 455388.

Almost surely, 2^153409140 is an apocalyptic number.

153409140 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 153409140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242197956).

153409140 is an abundant number, since it is smaller than the sum of its proper divisors (330986772).

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

153409140 is a wasteful number, since it uses less digits than its factorization.

153409140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 153409140 is about 12385.8443394062. The cubic root of 153409140 is about 535.3244487290.

The spelling of 153409140 in words is "one hundred fifty-three million, four hundred nine thousand, one hundred forty".