136987234619040 has 144 divisors (see below), whose sum is σ = 503428087293768. Its totient is φ = 33719934670848.

The previous prime is 136987234619017. The next prime is 136987234619071. The reversal of 136987234619040 is 40916432789631.

136987234619040 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 8 + 7 + 2 + 3 + 4 + 619 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69332200947216 + 67655033671824 = 8326596^2 + 8225268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×136987234619040² (a number of 29 digits) contains 22 as substring.

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, 3658828359 + ... + 3658865798.

Almost surely, 2^{136987234619040} is an apocalyptic number.

136987234619040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136987234619040 is an abundant number, since it is smaller than the sum of its proper divisors (366440852674728).

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

136987234619040 is a wasteful number, since it uses less digits than its factorization.

136987234619040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317694191 (or 7317694180 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 136987234619040 in words is "one hundred thirty-six trillion, nine hundred eighty-seven billion, two hundred thirty-four million, six hundred nineteen thousand, forty".