137845774459008 has 2592 divisors, whose sum is σ = 546075792990000. Its totient is φ = 33000187207680.

The previous prime is 137845774458983. The next prime is 137845774459033. The reversal of 137845774459008 is 800954477548731.

It is a happy number.

137845774459008 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 4 + 577 + 4 + 45 + 9 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (137845774458983) and next prime (137845774459033).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 276244036743 + ... + 276244037241.

Almost surely, 2^{137845774459008} is an apocalyptic number.

137845774459008 is a gapful number since it is divisible by the number (18) 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 137845774459008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273037896495000).

137845774459008 is an abundant number, since it is smaller than the sum of its proper divisors (408230018530992).

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

137845774459008 is a wasteful number, since it uses less digits than its factorization.

137845774459008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 137845774459008 in words is "one hundred thirty-seven trillion, eight hundred forty-five billion, seven hundred seventy-four million, four hundred fifty-nine thousand, eight".