1351134400 has 252 divisors, whose sum is σ = 4180590064. Its totient is φ = 420710400.

The previous prime is 1351134391. The next prime is 1351134451. The reversal of 1351134400 is 44311531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1354702 + ... + 1355698.

Almost surely, 2^1351134400 is an apocalyptic number.

1351134400 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 1351134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090295032).

1351134400 is an abundant number, since it is smaller than the sum of its proper divisors (2829455664).

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

1351134400 is a wasteful number, since it uses less digits than its factorization.

1351134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1351134400 is about 36757.7801288380. The cubic root of 1351134400 is about 1105.5189307254.

Adding to 1351134400 its reverse (44311531), we get a palindrome (1395445931).

The spelling of 1351134400 in words is "one billion, three hundred fifty-one million, one hundred thirty-four thousand, four hundred".