1356106752 has 704 divisors, whose sum is σ = 5502336000. Its totient is φ = 325140480.

The previous prime is 1356106747. The next prime is 1356106753. The reversal of 1356106752 is 2576016531.

1356106752 is a `hidden beast` number, since 1 + 35 + 610 + 6 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356106753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104315898 + ... + 104315910.

Almost surely, 2^1356106752 is an apocalyptic number.

1356106752 is a gapful number since it is divisible by the number (12) 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 1356106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751168000).

1356106752 is an abundant number, since it is smaller than the sum of its proper divisors (4146229248).

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

1356106752 is a wasteful number, since it uses less digits than its factorization.

1356106752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1356106752 is about 36825.3547437089. The cubic root of 1356106752 is about 1106.8734221207.

The spelling of 1356106752 in words is "one billion, three hundred fifty-six million, one hundred six thousand, seven hundred fifty-two".