135724586100 has 72 divisors (see below), whose sum is σ = 393603766080. Its totient is φ = 36109601280.

The previous prime is 135724586093. The next prime is 135724586131. The reversal of 135724586100 is 1685427531.

It is a happy number.

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, 392520 + ... + 652319.

Almost surely, 2^135724586100 is an apocalyptic number.

135724586100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135724586100 is an abundant number, since it is smaller than the sum of its proper divisors (257879179980).

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

135724586100 is a wasteful number, since it uses less digits than its factorization.

135724586100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045289 (or 1045282 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 135724586100 in words is "one hundred thirty-five billion, seven hundred twenty-four million, five hundred eighty-six thousand, one hundred".