135398042640 has 640 divisors, whose sum is σ = 548536320000. Its totient is φ = 30683100672.

The previous prime is 135398042621. The next prime is 135398042653. The reversal of 135398042640 is 46240893531.

135398042640 is a `hidden beast` number, since 13 + 539 + 8 + 0 + 42 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 94091041 + ... + 94092479.

It is an arithmetic number, because the mean of its divisors is an integer number (857088000).

Almost surely, 2^135398042640 is an apocalyptic number.

135398042640 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 135398042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274268160000).

135398042640 is an abundant number, since it is smaller than the sum of its proper divisors (413138277360).

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

135398042640 is a wasteful number, since it uses less digits than its factorization.

135398042640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 135398042640 in words is "one hundred thirty-five billion, three hundred ninety-eight million, forty-two thousand, six hundred forty".