100140256136540 has 24 divisors (see below), whose sum is σ = 221362671460560. Its totient is φ = 37947886535808.

The previous prime is 100140256136519. The next prime is 100140256136561. The reversal of 100140256136540 is 45631652041001.

It is an interprime number because it is at equal distance from previous prime (100140256136519) and next prime (100140256136561).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 100140256136494 and 100140256136503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131763494537 + ... + 131763495296.

It is an arithmetic number, because the mean of its divisors is an integer number (9223444644190).

Almost surely, 2^{100140256136540} is an apocalyptic number.

100140256136540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100140256136540 is an abundant number, since it is smaller than the sum of its proper divisors (121222415324020).

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

100140256136540 is a wasteful number, since it uses less digits than its factorization.

100140256136540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263526989861 (or 263526989859 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 100140256136540 in words is "one hundred trillion, one hundred forty billion, two hundred fifty-six million, one hundred thirty-six thousand, five hundred forty".