137772264960 has 1800 divisors, whose sum is σ = 606502040760. Its totient is φ = 29780213760.

The previous prime is 137772264937. The next prime is 137772264991. The reversal of 137772264960 is 69462277731.

137772264960 is a `hidden beast` number, since 1 + 377 + 7 + 2 + 264 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 137772264897 and 137772264906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7251171831 + ... + 7251171849.

Almost surely, 2^137772264960 is an apocalyptic number.

137772264960 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 137772264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303251020380).

137772264960 is an abundant number, since it is smaller than the sum of its proper divisors (468729775800).

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

137772264960 is a wasteful number, since it uses less digits than its factorization.

137772264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 137772264960 in words is "one hundred thirty-seven billion, seven hundred seventy-two million, two hundred sixty-four thousand, nine hundred sixty".