136740623040 has 1680 divisors, whose sum is σ = 613507682304. Its totient is φ = 28740096000.

The previous prime is 136740623021. The next prime is 136740623057. The reversal of 136740623040 is 40326047631.

It is a happy number.

136740623040 is a `hidden beast` number, since 13 + 6 + 7 + 406 + 230 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136740622986 and 136740623004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 905566965 + ... + 905567115.

Almost surely, 2^136740623040 is an apocalyptic number.

136740623040 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 136740623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306753841152).

136740623040 is an abundant number, since it is smaller than the sum of its proper divisors (476767059264).

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

136740623040 is a wasteful number, since it uses less digits than its factorization.

136740623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 136740623040 in words is "one hundred thirty-six billion, seven hundred forty million, six hundred twenty-three thousand, forty".