137145461600 has 144 divisors (see below), whose sum is σ = 384985859328. Its totient is φ = 46732515840.

The previous prime is 137145461599. The next prime is 137145461617. The reversal of 137145461600 is 6164541731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837677 + ... + 987923.

It is an arithmetic number, because the mean of its divisors is an integer number (2673512912).

Almost surely, 2^137145461600 is an apocalyptic number.

137145461600 is a gapful number since it is divisible by the number (10) 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 137145461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192492929664).

137145461600 is an abundant number, since it is smaller than the sum of its proper divisors (247840397728).

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

137145461600 is a wasteful number, since it uses less digits than its factorization.

137145461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150437 (or 150424 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 137145461600 in words is "one hundred thirty-seven billion, one hundred forty-five million, four hundred sixty-one thousand, six hundred".