135497524320 has 72 divisors (see below), whose sum is σ = 462385306656. Its totient is φ = 36132672768.

The previous prime is 135497524301. The next prime is 135497524343. The reversal of 135497524320 is 23425794531.

It is a happy number.

135497524320 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 97 + 524 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47046312 + ... + 47049191.

It is an arithmetic number, because the mean of its divisors is an integer number (6422018148).

Almost surely, 2^135497524320 is an apocalyptic number.

135497524320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135497524320 is an abundant number, since it is smaller than the sum of its proper divisors (326887782336).

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

135497524320 is a wasteful number, since it uses less digits than its factorization.

135497524320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94095524 (or 94095513 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 135497524320 in words is "one hundred thirty-five billion, four hundred ninety-seven million, five hundred twenty-four thousand, three hundred twenty".