1355153400 has 144 divisors (see below), whose sum is σ = 4593474600. Its totient is φ = 358007040.

The previous prime is 1355153381. The next prime is 1355153411. The reversal of 1355153400 is 43515531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192747 + ... + 199653.

Almost surely, 2^1355153400 is an apocalyptic number.

1355153400 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 1355153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296737300).

1355153400 is an abundant number, since it is smaller than the sum of its proper divisors (3238321200).

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

1355153400 is a wasteful number, since it uses less digits than its factorization.

1355153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1355153400 is about 36812.4082341810. The cubic root of 1355153400 is about 1106.6139815405.

Adding to 1355153400 its reverse (43515531), we get a palindrome (1398668931).

The spelling of 1355153400 in words is "one billion, three hundred fifty-five million, one hundred fifty-three thousand, four hundred".