137198875968 has 1008 divisors, whose sum is σ = 534166389120. Its totient is φ = 32937062400.

The previous prime is 137198875903. The next prime is 137198875969. The reversal of 137198875968 is 869578891731.

137198875968 is a `hidden beast` number, since 1 + 371 + 98 + 87 + 5 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 137198875896 and 137198875905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137198875969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3346314028 + ... + 3346314068.

Almost surely, 2^137198875968 is an apocalyptic number.

137198875968 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 137198875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267083194560).

137198875968 is an abundant number, since it is smaller than the sum of its proper divisors (396967513152).

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

137198875968 is a wasteful number, since it uses less digits than its factorization.

137198875968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 83 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 72.

The spelling of 137198875968 in words is "one hundred thirty-seven billion, one hundred ninety-eight million, eight hundred seventy-five thousand, nine hundred sixty-eight".