1355114000 has 160 divisors (see below), whose sum is σ = 3467992320. Its totient is φ = 511104000.

The previous prime is 1355113973. The next prime is 1355114009. The reversal of 1355114000 is 4115531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1355114009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4093835 + ... + 4094165.

It is an arithmetic number, because the mean of its divisors is an integer number (21674952).

Almost surely, 2^1355114000 is an apocalyptic number.

1355114000 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 1355114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733996160).

1355114000 is an abundant number, since it is smaller than the sum of its proper divisors (2112878320).

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

1355114000 is a wasteful number, since it uses less digits than its factorization.

1355114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1355114000 is about 36811.8730846449. The cubic root of 1355114000 is about 1106.6032567981.

Adding to 1355114000 its reverse (4115531), we get a palindrome (1359229531).

The spelling of 1355114000 in words is "one billion, three hundred fifty-five million, one hundred fourteen thousand".