1020134400 has 264 divisors, whose sum is σ = 3472367040. Its totient is φ = 263946240.

The previous prime is 1020134399. The next prime is 1020134411. The reversal of 1020134400 is 44310201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020134400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2841421 + ... + 2841779.

Almost surely, 2^1020134400 is an apocalyptic number.

1020134400 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 1020134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736183520).

1020134400 is an abundant number, since it is smaller than the sum of its proper divisors (2452232640).

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

1020134400 is a wasteful number, since it uses less digits than its factorization.

1020134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1020134400 is about 31939.5428896533. The cubic root of 1020134400 is about 1006.6669200668. Note that the first 3 decimals are identical.

Adding to 1020134400 its reverse (44310201), we get a palindrome (1064444601).

The spelling of 1020134400 in words is "one billion, twenty million, one hundred thirty-four thousand, four hundred".