137669760 has 256 divisors, whose sum is σ = 505267200. Its totient is φ = 35389440.

The previous prime is 137669747. The next prime is 137669761. The reversal of 137669760 is 67966731.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (137669761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535552 + ... + 535808.

It is an arithmetic number, because the mean of its divisors is an integer number (1973700).

Almost surely, 2^137669760 is an apocalyptic number.

137669760 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 137669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252633600).

137669760 is an abundant number, since it is smaller than the sum of its proper divisors (367597440).

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

137669760 is a wasteful number, since it uses less digits than its factorization.

137669760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 137669760 is about 11733.2757574345. The cubic root of 137669760 is about 516.3523823387.

The spelling of 137669760 in words is "one hundred thirty-seven million, six hundred sixty-nine thousand, seven hundred sixty".