137134080 has 256 divisors, whose sum is σ = 503308800. Its totient is φ = 35389440.

The previous prime is 137134079. The next prime is 137134103. The reversal of 137134080 is 80431731.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4423665 + ... + 4423695.

It is an arithmetic number, because the mean of its divisors is an integer number (1966050).

Almost surely, 2^137134080 is an apocalyptic number.

137134080 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 137134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251654400).

137134080 is an abundant number, since it is smaller than the sum of its proper divisors (366174720).

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

137134080 is an frugal number, since it uses more digits than its factorization.

137134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137134080 is about 11710.4261237583. The cubic root of 137134080 is about 515.6817940747.

The spelling of 137134080 in words is "one hundred thirty-seven million, one hundred thirty-four thousand, eighty".