137827132740 has 240 divisors, whose sum is σ = 486892353024. Its totient is φ = 32334681600.

The previous prime is 137827132733. The next prime is 137827132801. The reversal of 137827132740 is 47231728731.

137827132740 is a `hidden beast` number, since 1 + 378 + 2 + 7 + 1 + 3 + 274 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 427672 + ... + 677168.

Almost surely, 2^137827132740 is an apocalyptic number.

137827132740 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 137827132740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243446176512).

137827132740 is an abundant number, since it is smaller than the sum of its proper divisors (349065220284).

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

137827132740 is a wasteful number, since it uses less digits than its factorization.

137827132740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249560 (or 249549 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 137827132740 in words is "one hundred thirty-seven billion, eight hundred twenty-seven million, one hundred thirty-two thousand, seven hundred forty".