137450496 has 88 divisors (see below), whose sum is σ = 370818144. Its totient is φ = 45260800.

The previous prime is 137450473. The next prime is 137450501. The reversal of 137450496 is 694054731.

137450496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310051 + ... + 310493.

Almost surely, 2^137450496 is an apocalyptic number.

137450496 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 137450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185409072).

137450496 is an abundant number, since it is smaller than the sum of its proper divisors (233367648).

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

137450496 is a wasteful number, since it uses less digits than its factorization.

137450496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 137450496 is about 11723.9283518793. The cubic root of 137450496 is about 516.0781084812.

The spelling of 137450496 in words is "one hundred thirty-seven million, four hundred fifty thousand, four hundred ninety-six".