1300152672 has 432 divisors, whose sum is σ = 4888643760. Its totient is φ = 323979264.

The previous prime is 1300152649. The next prime is 1300152677. The reversal of 1300152672 is 2762510031.

It is a happy number.

1300152672 is a `hidden beast` number, since 130 + 0 + 1 + 526 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300152677) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3485478 + ... + 3485850.

It is an arithmetic number, because the mean of its divisors is an integer number (11316305).

Almost surely, 2^1300152672 is an apocalyptic number.

1300152672 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 1300152672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444321880).

1300152672 is an abundant number, since it is smaller than the sum of its proper divisors (3588491088).

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

1300152672 is a wasteful number, since it uses less digits than its factorization.

1300152672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 417 counting only the distinct ones).

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

The square root of 1300152672 is about 36057.6298721921. The cubic root of 1300152672 is about 1091.4356057821.

The spelling of 1300152672 in words is "one billion, three hundred million, one hundred fifty-two thousand, six hundred seventy-two".