137130378840 has 1440 divisors, whose sum is σ = 613405386000. Its totient is φ = 27308316672.

The previous prime is 137130378793. The next prime is 137130378857. The reversal of 137130378840 is 48873031731.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 509778226 + ... + 509778494.

Almost surely, 2^137130378840 is an apocalyptic number.

137130378840 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 137130378840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306702693000).

137130378840 is an abundant number, since it is smaller than the sum of its proper divisors (476275007160).

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

137130378840 is a wasteful number, since it uses less digits than its factorization.

137130378840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 137130378840 in words is "one hundred thirty-seven billion, one hundred thirty million, three hundred seventy-eight thousand, eight hundred forty".