137774485440 has 448 divisors, whose sum is σ = 506984325120. Its totient is φ = 35181527040.

The previous prime is 137774485439. The next prime is 137774485561. The reversal of 137774485440 is 44584477731.

It is a happy number.

137774485440 is a `hidden beast` number, since 13 + 7 + 77 + 44 + 85 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25977829 + ... + 25983131.

It is an arithmetic number, because the mean of its divisors is an integer number (1131661440).

Almost surely, 2^137774485440 is an apocalyptic number.

137774485440 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 137774485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253492162560).

137774485440 is an abundant number, since it is smaller than the sum of its proper divisors (369209839680).

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

137774485440 is a wasteful number, since it uses less digits than its factorization.

137774485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 137774485440 in words is "one hundred thirty-seven billion, seven hundred seventy-four million, four hundred eighty-five thousand, four hundred forty".