10136462400 has 189 divisors, whose sum is σ = 36070372741. Its totient is φ = 2699834880.

The previous prime is 10136462393. The next prime is 10136462407. The reversal of 10136462400 is 426463101.

The square root of 10136462400 is 100680.

It is a perfect power (a square), and thus also a powerful number.

10136462400 is a `hidden beast` number, since 1 + 0 + 1 + 36 + 4 + 624 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10136462393) and next prime (10136462407).

It can be written as a sum of positive squares in only one way, i.e., 3649126464 + 6487335936 = 60408^2 + 80544^2 .

It is a super-2 number, since 2×10136462400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10136462407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12081181 + ... + 12082019.

Almost surely, 2^10136462400 is an apocalyptic number.

10136462400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10136462400 is the 100680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10136462400

10136462400 is an abundant number, since it is smaller than the sum of its proper divisors (25933910341).

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

10136462400 is an frugal number, since it uses more digits than its factorization.

10136462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10136462400 in words is "ten billion, one hundred thirty-six million, four hundred sixty-two thousand, four hundred".