153689040 has 120 divisors (see below), whose sum is σ = 520982280. Its totient is φ = 40599552.

The previous prime is 153689021. The next prime is 153689051. The reversal of 153689040 is 40986351.

153689040 is a `hidden beast` number, since 1 + 536 + 89 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 153660816 = 168^2 + 12396^2 .

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

It is a super-2 number, since 2×153689040² = 47240642032243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153688986 and 153689004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80416 + ... + 82304.

It is an arithmetic number, because the mean of its divisors is an integer number (4341519).

Almost surely, 2^153689040 is an apocalyptic number.

153689040 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 153689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260491140).

153689040 is an abundant number, since it is smaller than the sum of its proper divisors (367293240).

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

153689040 is a wasteful number, since it uses less digits than its factorization.

153689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 153689040 is about 12397.1383794810. The cubic root of 153689040 is about 535.6498232531.

The spelling of 153689040 in words is "one hundred fifty-three million, six hundred eighty-nine thousand, forty".