137148235776 has 228 divisors, whose sum is σ = 411070368072. Its totient is φ = 45694844928.

The previous prime is 137148235769. The next prime is 137148235799. The reversal of 137148235776 is 677532841731.

137148235776 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 48 + 23 + 577 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63699916 + ... + 63702068.

Almost surely, 2^137148235776 is an apocalyptic number.

137148235776 is a gapful number since it is divisible by the number (16) 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 137148235776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205535184036).

137148235776 is an abundant number, since it is smaller than the sum of its proper divisors (273922132296).

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

137148235776 is an frugal number, since it uses more digits than its factorization.

137148235776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2158 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 137148235776 in words is "one hundred thirty-seven billion, one hundred forty-eight million, two hundred thirty-five thousand, seven hundred seventy-six".