1356189120 has 672 divisors, whose sum is σ = 5691591360. Its totient is φ = 291962880.

The previous prime is 1356189101. The next prime is 1356189137. The reversal of 1356189120 is 219816531.

1356189120 is a `hidden beast` number, since 1 + 3 + 561 + 8 + 91 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15238036 + ... + 15238124.

It is an arithmetic number, because the mean of its divisors is an integer number (8469630).

Almost surely, 2^1356189120 is an apocalyptic number.

1356189120 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 1356189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845795680).

1356189120 is an abundant number, since it is smaller than the sum of its proper divisors (4335402240).

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

1356189120 is a wasteful number, since it uses less digits than its factorization.

1356189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1356189120 is about 36826.4730866261. The cubic root of 1356189120 is about 1106.8958316407.

The spelling of 1356189120 in words is "one billion, three hundred fifty-six million, one hundred eighty-nine thousand, one hundred twenty".