153506340 has 240 divisors, whose sum is σ = 535317552. Its totient is φ = 36578304.

The previous prime is 153506333. The next prime is 153506369. The reversal of 153506340 is 43605351.

153506340 is a `hidden beast` number, since 153 + 506 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11943936 + 141562404 = 3456^2 + 11898^2 .

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 779122 + ... + 779318.

Almost surely, 2^153506340 is an apocalyptic number.

153506340 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 153506340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267658776).

153506340 is an abundant number, since it is smaller than the sum of its proper divisors (381811212).

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

153506340 is a wasteful number, since it uses less digits than its factorization.

153506340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 153506340 is about 12389.7675522990. The cubic root of 153506340 is about 535.4374853464.

The spelling of 153506340 in words is "one hundred fifty-three million, five hundred six thousand, three hundred forty".