1337214672 has 240 divisors, whose sum is σ = 4029742080. Its totient is φ = 413337600.

The previous prime is 1337214653. The next prime is 1337214691. The reversal of 1337214672 is 2764127331.

It is an interprime number because it is at equal distance from previous prime (1337214653) and next prime (1337214691).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16926729 + ... + 16926807.

It is an arithmetic number, because the mean of its divisors is an integer number (16790592).

Almost surely, 2^1337214672 is an apocalyptic number.

1337214672 is a gapful number since it is divisible by the number (12) 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 1337214672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014871040).

1337214672 is an abundant number, since it is smaller than the sum of its proper divisors (2692527408).

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

1337214672 is a wasteful number, since it uses less digits than its factorization.

1337214672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 1337214672 is about 36567.9459636442. The cubic root of 1337214672 is about 1101.7093731539.

The spelling of 1337214672 in words is "one billion, three hundred thirty-seven million, two hundred fourteen thousand, six hundred seventy-two".