137540700 has 216 divisors, whose sum is σ = 487173680. Its totient is φ = 33264000.

The previous prime is 137540657. The next prime is 137540701. The reversal of 137540700 is 7045731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137540701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 326490 + ... + 326910.

Almost surely, 2^137540700 is an apocalyptic number.

137540700 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 137540700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243586840).

137540700 is an abundant number, since it is smaller than the sum of its proper divisors (349632980).

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

137540700 is a wasteful number, since it uses less digits than its factorization.

137540700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 137540700 is about 11727.7747249851. The cubic root of 137540700 is about 516.1909785234.

The spelling of 137540700 in words is "one hundred thirty-seven million, five hundred forty thousand, seven hundred".