137481750 has 288 divisors, whose sum is σ = 457760160. Its totient is φ = 29635200.

The previous prime is 137481731. The next prime is 137481761. The reversal of 137481750 is 57184731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3197229 + ... + 3197271.

It is an arithmetic number, because the mean of its divisors is an integer number (1589445).

Almost surely, 2^137481750 is an apocalyptic number.

137481750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137481750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228880080).

137481750 is an abundant number, since it is smaller than the sum of its proper divisors (320278410).

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

137481750 is a wasteful number, since it uses less digits than its factorization.

137481750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 137481750 is about 11725.2611911206. The cubic root of 137481750 is about 516.1172214304.

The spelling of 137481750 in words is "one hundred thirty-seven million, four hundred eighty-one thousand, seven hundred fifty".