135742487820 has 48 divisors (see below), whose sum is σ = 380168140128. Its totient is φ = 36189504000.

The previous prime is 135742487801. The next prime is 135742487851. The reversal of 135742487820 is 28784247531.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5431 + ... + 521070.

It is an arithmetic number, because the mean of its divisors is an integer number (7920169586).

Almost surely, 2^135742487820 is an apocalyptic number.

135742487820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135742487820 is an abundant number, since it is smaller than the sum of its proper divisors (244425652308).

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

135742487820 is a wasteful number, since it uses less digits than its factorization.

135742487820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530810 (or 530808 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 135742487820 in words is "one hundred thirty-five billion, seven hundred forty-two million, four hundred eighty-seven thousand, eight hundred twenty".