137719491840 has 864 divisors, whose sum is σ = 578261139456. Its totient is φ = 30725775360.

The previous prime is 137719491821. The next prime is 137719491841. The reversal of 137719491840 is 48194917731.

It is a happy number.

137719491840 is a `hidden beast` number, since 1 + 3 + 7 + 71 + 9 + 491 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137719491841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93622305 + ... + 93623775.

Almost surely, 2^137719491840 is an apocalyptic number.

137719491840 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 137719491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289130569728).

137719491840 is an abundant number, since it is smaller than the sum of its proper divisors (440541647616).

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

137719491840 is an equidigital number, since it uses as much as digits as its factorization.

137719491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 137719491840 in words is "one hundred thirty-seven billion, seven hundred nineteen million, four hundred ninety-one thousand, eight hundred forty".