137041914384 has 240 divisors, whose sum is σ = 408211015680. Its totient is φ = 42796615680.

The previous prime is 137041914379. The next prime is 137041914389. The reversal of 137041914384 is 483419140731.

It is a happy number.

137041914384 is a `hidden beast` number, since 13 + 7 + 0 + 419 + 143 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (137041914379) and next prime (137041914389).

It is not an unprimeable number, because it can be changed into a prime (137041914389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181032534 + ... + 181033290.

It is an arithmetic number, because the mean of its divisors is an integer number (1700879232).

Almost surely, 2^137041914384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137041914384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204105507840).

137041914384 is an abundant number, since it is smaller than the sum of its proper divisors (271169101296).

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

137041914384 is a wasteful number, since it uses less digits than its factorization.

137041914384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 137041914384 in words is "one hundred thirty-seven billion, forty-one million, nine hundred fourteen thousand, three hundred eighty-four".