34137681480 has 192 divisors, whose sum is σ = 130224407040. Its totient is φ = 7591988736.

The previous prime is 34137681427. The next prime is 34137681493. The reversal of 34137681480 is 8418673143.

34137681480 is a `hidden beast` number, since 34 + 137 + 6 + 8 + 1 + 480 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 89824 + ... + 276303.

It is an arithmetic number, because the mean of its divisors is an integer number (678252120).

Almost surely, 2^34137681480 is an apocalyptic number.

34137681480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34137681480 is an abundant number, since it is smaller than the sum of its proper divisors (96086725560).

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

34137681480 is a wasteful number, since it uses less digits than its factorization.

34137681480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366188 (or 366181 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 34137681480 in words is "thirty-four billion, one hundred thirty-seven million, six hundred eighty-one thousand, four hundred eighty".