137975949540 has 288 divisors, whose sum is σ = 492359212800. Its totient is φ = 30834109440.

The previous prime is 137975949523. The next prime is 137975949541. The reversal of 137975949540 is 45949579731.

137975949540 is a `hidden beast` number, since 1 + 3 + 7 + 97 + 59 + 495 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (137975949541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21592666 + ... + 21599054.

It is an arithmetic number, because the mean of its divisors is an integer number (1709580600).

Almost surely, 2^137975949540 is an apocalyptic number.

137975949540 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 137975949540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246179606400).

137975949540 is an abundant number, since it is smaller than the sum of its proper divisors (354383263260).

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

137975949540 is a wasteful number, since it uses less digits than its factorization.

137975949540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7267 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 137975949540 in words is "one hundred thirty-seven billion, nine hundred seventy-five million, nine hundred forty-nine thousand, five hundred forty".