136401347874000 has 320 divisors, whose sum is σ = 479765980512000. Its totient is φ = 33064922880000.

The previous prime is 136401347873993. The next prime is 136401347874013. The reversal of 136401347874000 is 478743104631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1231570626 + ... + 1231681374.

It is an arithmetic number, because the mean of its divisors is an integer number (1499268689100).

Almost surely, 2^{136401347874000} is an apocalyptic number.

136401347874000 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 136401347874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239882990256000).

136401347874000 is an abundant number, since it is smaller than the sum of its proper divisors (343364632638000).

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

136401347874000 is a wasteful number, since it uses less digits than its factorization.

136401347874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129447 (or 129431 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 136401347874000 in words is "one hundred thirty-six trillion, four hundred one billion, three hundred forty-seven million, eight hundred seventy-four thousand".