137487840 has 384 divisors, whose sum is σ = 548674560. Its totient is φ = 28213248.

The previous prime is 137487793. The next prime is 137487851. The reversal of 137487840 is 48784731.

It is a super-2 number, since 2×137487840² = 37805812295731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 137487792 and 137487801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1656439 + ... + 1656521.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^137487840 is an apocalyptic number.

137487840 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 137487840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

137487840 is an abundant number, since it is smaller than the sum of its proper divisors (411186720).

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

137487840 is a wasteful number, since it uses less digits than its factorization.

137487840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 137487840 is about 11725.5208839522. The cubic root of 137487840 is about 516.1248420964.

The spelling of 137487840 in words is "one hundred thirty-seven million, four hundred eighty-seven thousand, eight hundred forty".