137480302311 has 16 divisors (see below), whose sum is σ = 200052789120. Its totient is φ = 83287461920.

The previous prime is 137480302273. The next prime is 137480302397. The reversal of 137480302311 is 113203084731.

137480302311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 137480302311 - 2⁶ = 137480302247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137480302811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 765960 + ... + 928253.

It is an arithmetic number, because the mean of its divisors is an integer number (12503299320).

Almost surely, 2^137480302311 is an apocalyptic number.

137480302311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137480302311 is a deficient number, since it is larger than the sum of its proper divisors (62572486809).

137480302311 is a wasteful number, since it uses less digits than its factorization.

137480302311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696686.

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 137480302311 in words is "one hundred thirty-seven billion, four hundred eighty million, three hundred two thousand, three hundred eleven".