137405407779000 has 384 divisors, whose sum is σ = 497167923732480. Its totient is φ = 35459458128000.

The previous prime is 137405407778959. The next prime is 137405407779037. The reversal of 137405407779000 is 977704504731.

137405407779000 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 0 + 540 + 7 + 7 + 7 + 90 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1587232 + ... + 16653231.

It is an arithmetic number, because the mean of its divisors is an integer number (1294708134720).

Almost surely, 2^{137405407779000} is an apocalyptic number.

137405407779000 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 137405407779000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248583961866240).

137405407779000 is an abundant number, since it is smaller than the sum of its proper divisors (359762515953480).

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

137405407779000 is a wasteful number, since it uses less digits than its factorization.

137405407779000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18240530 (or 18240504 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 137405407779000 in words is "one hundred thirty-seven trillion, four hundred five billion, four hundred seven million, seven hundred seventy-nine thousand".