137145761280 has 320 divisors, whose sum is σ = 531442771200. Its totient is φ = 33247272960.

The previous prime is 137145761231. The next prime is 137145761323. The reversal of 137145761280 is 82167541731.

137145761280 is a `hidden beast` number, since 1 + 3 + 71 + 4 + 576 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670131 + ... + 850509.

It is an arithmetic number, because the mean of its divisors is an integer number (1660758660).

Almost surely, 2^137145761280 is an apocalyptic number.

137145761280 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 137145761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265721385600).

137145761280 is an abundant number, since it is smaller than the sum of its proper divisors (394297009920).

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

137145761280 is a wasteful number, since it uses less digits than its factorization.

137145761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180422 (or 180400 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 137145761280 in words is "one hundred thirty-seven billion, one hundred forty-five million, seven hundred sixty-one thousand, two hundred eighty".