137463427296 has 384 divisors, whose sum is σ = 454851210240. Its totient is φ = 40071297024.

The previous prime is 137463427271. The next prime is 137463427357. The reversal of 137463427296 is 692724364731.

It is a happy number.

137463427296 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 6 + 342 + 7 + 296 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27639466 + ... + 27644438.

It is an arithmetic number, because the mean of its divisors is an integer number (1184508360).

Almost surely, 2^137463427296 is an apocalyptic number.

137463427296 is a gapful number since it is divisible by the number (16) 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 137463427296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227425605120).

137463427296 is an abundant number, since it is smaller than the sum of its proper divisors (317387782944).

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

137463427296 is a wasteful number, since it uses less digits than its factorization.

137463427296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5121 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 137463427296 in words is "one hundred thirty-seven billion, four hundred sixty-three million, four hundred twenty-seven thousand, two hundred ninety-six".