1337134023414 has 192 divisors, whose sum is σ = 3489486594048. Its totient is φ = 361989388800.

The previous prime is 1337134023307. The next prime is 1337134023437. The reversal of 1337134023414 is 4143204317331.

1337134023414 is a `hidden beast` number, since 1 + 3 + 3 + 71 + 340 + 234 + 14 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104123634 + ... + 104136474.

It is an arithmetic number, because the mean of its divisors is an integer number (18174409344).

Almost surely, 2^{1337134023414} is an apocalyptic number.

1337134023414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1337134023414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744743297024).

1337134023414 is an abundant number, since it is smaller than the sum of its proper divisors (2152352570634).

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

1337134023414 is a wasteful number, since it uses less digits than its factorization.

1337134023414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13443 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 1337134023414 in words is "one trillion, three hundred thirty-seven billion, one hundred thirty-four million, twenty-three thousand, four hundred fourteen".