153545040 has 120 divisors (see below), whose sum is σ = 562562208. Its totient is φ = 37221120.

The previous prime is 153545027. The next prime is 153545047. The reversal of 153545040 is 40545351.

153545040 is a `hidden beast` number, since 153 + 5 + 4 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 153544995 and 153545013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153545047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1774 + ... + 17613.

Almost surely, 2^153545040 is an apocalyptic number.

153545040 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 153545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281281104).

153545040 is an abundant number, since it is smaller than the sum of its proper divisors (409017168).

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

153545040 is a wasteful number, since it uses less digits than its factorization.

153545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19417 (or 19408 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 153545040 is about 12391.3292265196. The cubic root of 153545040 is about 535.4824773851.

The spelling of 153545040 in words is "one hundred fifty-three million, five hundred forty-five thousand, forty".