137420864658 has 576 divisors, whose sum is σ = 425458396800. Its totient is φ = 32510419200.

The previous prime is 137420864657. The next prime is 137420864699. The reversal of 137420864658 is 856468024731.

It is a happy number.

137420864658 is a `hidden beast` number, since 1 + 374 + 208 + 6 + 4 + 65 + 8 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137420864657) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4432931103 + ... + 4432931133.

It is an arithmetic number, because the mean of its divisors is an integer number (738643050).

Almost surely, 2^137420864658 is an apocalyptic number.

137420864658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137420864658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212729198400).

137420864658 is an abundant number, since it is smaller than the sum of its proper divisors (288037532142).

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

137420864658 is a wasteful number, since it uses less digits than its factorization.

137420864658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 137420864658 in words is "one hundred thirty-seven billion, four hundred twenty million, eight hundred sixty-four thousand, six hundred fifty-eight".