137450976 has 96 divisors (see below), whose sum is σ = 391029408. Its totient is φ = 42024960.

The previous prime is 137450953. The next prime is 137451007. The reversal of 137450976 is 679054731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300540 + ... + 300996.

It is an arithmetic number, because the mean of its divisors is an integer number (4073223).

Almost surely, 2^137450976 is an apocalyptic number.

137450976 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 137450976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195514704).

137450976 is an abundant number, since it is smaller than the sum of its proper divisors (253578432).

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

137450976 is a wasteful number, since it uses less digits than its factorization.

137450976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 137450976 is about 11723.9488228156. The cubic root of 137450976 is about 516.0787092240.

The spelling of 137450976 in words is "one hundred thirty-seven million, four hundred fifty thousand, nine hundred seventy-six".