1354681152 has 448 divisors, whose sum is σ = 4759756800. Its totient is φ = 376358400.

The previous prime is 1354681127. The next prime is 1354681189. The reversal of 1354681152 is 2511864531.

1354681152 is a `hidden beast` number, since 135 + 468 + 11 + 52 = 666.

It is a super-2 number, since 2×1354681152² = 3670322047168094208, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 43699377 + ... + 43699407.

Almost surely, 2^1354681152 is an apocalyptic number.

1354681152 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 1354681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379878400).

1354681152 is an abundant number, since it is smaller than the sum of its proper divisors (3405075648).

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

1354681152 is a wasteful number, since it uses less digits than its factorization.

1354681152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1354681152 is about 36805.9934249845. The cubic root of 1354681152 is about 1106.4854211978.

The spelling of 1354681152 in words is "one billion, three hundred fifty-four million, six hundred eighty-one thousand, one hundred fifty-two".