137426382720 has 1152 divisors, whose sum is σ = 558393769440. Its totient is φ = 30855168000.

The previous prime is 137426382629. The next prime is 137426382721. The reversal of 137426382720 is 27283624731.

137426382720 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 2 + 638 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137426382721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2252891490 + ... + 2252891550.

Almost surely, 2^137426382720 is an apocalyptic number.

137426382720 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 137426382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279196884720).

137426382720 is an abundant number, since it is smaller than the sum of its proper divisors (420967386720).

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

137426382720 is a wasteful number, since it uses less digits than its factorization.

137426382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 137426382720 in words is "one hundred thirty-seven billion, four hundred twenty-six million, three hundred eighty-two thousand, seven hundred twenty".