135732565120 has 128 divisors (see below), whose sum is σ = 336007278000. Its totient is φ = 52368949248.

The previous prime is 135732565093. The next prime is 135732565141. The reversal of 135732565120 is 21565237531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 56222100544 + 79510464576 = 237112^2 + 281976^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×135732565120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 22510266 + ... + 22516294.

Almost surely, 2^135732565120 is an apocalyptic number.

135732565120 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 135732565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168003639000).

135732565120 is an abundant number, since it is smaller than the sum of its proper divisors (200274712880).

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

135732565120 is a wasteful number, since it uses less digits than its factorization.

135732565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 135732565120 in words is "one hundred thirty-five billion, seven hundred thirty-two million, five hundred sixty-five thousand, one hundred twenty".