137403461600 has 144 divisors (see below), whose sum is σ = 351760767120. Its totient is φ = 52338585600.

The previous prime is 137403461593. The next prime is 137403461677. The reversal of 137403461600 is 6164304731.

It is a super-2 number, since 2×137403461600² (a number of 23 digits) contains 22 as substring.

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, 1653035 + ... + 1734165.

It is an arithmetic number, because the mean of its divisors is an integer number (2442783105).

Almost surely, 2^137403461600 is an apocalyptic number.

137403461600 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 137403461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175880383560).

137403461600 is an abundant number, since it is smaller than the sum of its proper divisors (214357305520).

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

137403461600 is a wasteful number, since it uses less digits than its factorization.

137403461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81253 (or 81240 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 137403461600 in words is "one hundred thirty-seven billion, four hundred three million, four hundred sixty-one thousand, six hundred".