137276500 has 48 divisors (see below), whose sum is σ = 303999696. Its totient is φ = 54144000.

The previous prime is 137276467. The next prime is 137276507. The reversal of 137276500 is 5672731.

137276500 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 43612816 + 93663684 = 6604^2 + 9678^2 .

137276500 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137276507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34620 + ... + 38380.

It is an arithmetic number, because the mean of its divisors is an integer number (6333327).

Almost surely, 2^137276500 is an apocalyptic number.

137276500 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 137276500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151999848).

137276500 is an abundant number, since it is smaller than the sum of its proper divisors (166723196).

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

137276500 is a wasteful number, since it uses less digits than its factorization.

137276500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 137276500 is about 11716.5054517121. The cubic root of 137276500 is about 515.8602520019.

The spelling of 137276500 in words is "one hundred thirty-seven million, two hundred seventy-six thousand, five hundred".