137432450496 has 168 divisors, whose sum is σ = 400484799232. Its totient is φ = 41562892800.

The previous prime is 137432450483. The next prime is 137432450497. The reversal of 137432450496 is 694054234731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137432450497) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12144681 + ... + 12155991.

Almost surely, 2^137432450496 is an apocalyptic number.

137432450496 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 137432450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200242399616).

137432450496 is an abundant number, since it is smaller than the sum of its proper divisors (263052348736).

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

137432450496 is a wasteful number, since it uses less digits than its factorization.

137432450496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871 (or 11850 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 137432450496 in words is "one hundred thirty-seven billion, four hundred thirty-two million, four hundred fifty thousand, four hundred ninety-six".