137242169064 has 1536 divisors, whose sum is σ = 561564057600. Its totient is φ = 29113344000.

The previous prime is 137242169041. The next prime is 137242169069. The reversal of 137242169064 is 460961242731.

137242169064 is a `hidden beast` number, since 1 + 372 + 4 + 216 + 9 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (137242169069) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2249871594 + ... + 2249871654.

It is an arithmetic number, because the mean of its divisors is an integer number (365601600).

Almost surely, 2^137242169064 is an apocalyptic number.

137242169064 is a gapful number since it is divisible by the number (14) 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 137242169064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280782028800).

137242169064 is an abundant number, since it is smaller than the sum of its proper divisors (424321888536).

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

137242169064 is a wasteful number, since it uses less digits than its factorization.

137242169064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 137242169064 in words is "one hundred thirty-seven billion, two hundred forty-two million, one hundred sixty-nine thousand, sixty-four".