135557640 has 96 divisors (see below), whose sum is σ = 452513880. Its totient is φ = 35168256.

The previous prime is 135557627. The next prime is 135557651. The reversal of 135557640 is 46755531.

135557640 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 5 + 7 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132296004 + 3261636 = 11502^2 + 1806^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 135557595 and 135557604.

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, 8232 + ... + 18408.

Almost surely, 2^135557640 is an apocalyptic number.

135557640 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 135557640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226256940).

135557640 is an abundant number, since it is smaller than the sum of its proper divisors (316956240).

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

135557640 is a wasteful number, since it uses less digits than its factorization.

135557640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10231 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 135557640 is about 11642.9223135775. The cubic root of 135557640 is about 513.6981477495.

The spelling of 135557640 in words is "one hundred thirty-five million, five hundred fifty-seven thousand, six hundred forty".