137801500 has 48 divisors (see below), whose sum is σ = 302702400. Its totient is φ = 54801600.

The previous prime is 137801483. The next prime is 137801519. The reversal of 137801500 is 5108731.

137801500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97801 + ... + 99199.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2^137801500 is an apocalyptic number.

137801500 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 137801500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151351200).

137801500 is an abundant number, since it is smaller than the sum of its proper divisors (164900900).

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

137801500 is a wasteful number, since it uses less digits than its factorization.

137801500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 137801500 is about 11738.8883630436. Note that the first 3 decimals coincide. The cubic root of 137801500 is about 516.5170337874.

The spelling of 137801500 in words is "one hundred thirty-seven million, eight hundred one thousand, five hundred".