137745905400 has 192 divisors, whose sum is σ = 474655334400. Its totient is φ = 36716976000.

The previous prime is 137745905399. The next prime is 137745905413. The reversal of 137745905400 is 4509547731.

137745905400 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 4 + 590 + 54 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 19927945 + ... + 19934855.

It is an arithmetic number, because the mean of its divisors is an integer number (2472163200).

Almost surely, 2^137745905400 is an apocalyptic number.

137745905400 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 137745905400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237327667200).

137745905400 is an abundant number, since it is smaller than the sum of its proper divisors (336909429000).

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

137745905400 is a wasteful number, since it uses less digits than its factorization.

137745905400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10627 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 137745905400 in words is "one hundred thirty-seven billion, seven hundred forty-five million, nine hundred five thousand, four hundred".