1356742890 has 96 divisors (see below), whose sum is σ = 3690925056. Its totient is φ = 345419520.

The previous prime is 1356742889. The next prime is 1356742901. The reversal of 1356742890 is 982476531.

1356742890 is a `hidden beast` number, since 1 + 3 + 567 + 4 + 2 + 89 + 0 = 666.

1356742890 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

1356742890 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169519 + ... + 177341.

It is an arithmetic number, because the mean of its divisors is an integer number (38447136).

It is a 1-persistent number, because it is pandigital, but 2⋅1356742890 = 2713485780 is not.

It is a vampire number, since it can be written as 23469 ⋅ 57810 (with its own digits).

Almost surely, 2^1356742890 is an apocalyptic number.

1356742890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356742890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845462528).

1356742890 is an abundant number, since it is smaller than the sum of its proper divisors (2334182166).

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

1356742890 is a wasteful number, since it uses less digits than its factorization.

1356742890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7924 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1356742890 is about 36833.9909594385. The cubic root of 1356742890 is about 1107.0464699954.

The spelling of 1356742890 in words is "one billion, three hundred fifty-six million, seven hundred forty-two thousand, eight hundred ninety".