137912168448 has 156 divisors (see below), whose sum is σ = 409134945648. Its totient is φ = 44727828480.

The previous prime is 137912168447. The next prime is 137912168461. The reversal of 137912168448 is 844861219731.

137912168448 is a `hidden beast` number, since 1 + 3 + 79 + 121 + 6 + 8 + 448 = 666.

It is a super-3 number, since 3×137912168448³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137912168394 and 137912168403.

It is not an unprimeable number, because it can be changed into a prime (137912168447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1313413 + ... + 1414523.

It is an arithmetic number, because the mean of its divisors is an integer number (2622659908).

Almost surely, 2^137912168448 is an apocalyptic number.

137912168448 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 137912168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204567472824).

137912168448 is an abundant number, since it is smaller than the sum of its proper divisors (271222777200).

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

137912168448 is a wasteful number, since it uses less digits than its factorization.

137912168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101178 (or 101153 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 137912168448 in words is "one hundred thirty-seven billion, nine hundred twelve million, one hundred sixty-eight thousand, four hundred forty-eight".