1307145600 has 432 divisors, whose sum is σ = 4957794660. Its totient is φ = 340070400.

The previous prime is 1307145599. The next prime is 1307145643. The reversal of 1307145600 is 65417031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1307145600 is a `hidden beast` number, since 1 + 30 + 71 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 31881580 + ... + 31881620.

Almost surely, 2^1307145600 is an apocalyptic number.

1307145600 is a gapful number since it is divisible by the number (10) 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 1307145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478897330).

1307145600 is an abundant number, since it is smaller than the sum of its proper divisors (3650649060).

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

1307145600 is an frugal number, since it uses more digits than its factorization.

1307145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1307145600 is about 36154.4686034797. The cubic root of 1307145600 is about 1093.3888860662.

The spelling of 1307145600 in words is "one billion, three hundred seven million, one hundred forty-five thousand, six hundred".