1354875340 has 192 divisors, whose sum is σ = 3654217728. Its totient is φ = 410572800.

The previous prime is 1354875323. The next prime is 1354875343. The reversal of 1354875340 is 435784531.

It is a junction number, because it is equal to n+sod(n) for n = 1354875293 and 1354875302.

It is not an unprimeable number, because it can be changed into a prime (1354875343) 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, 4999405 + ... + 4999675.

It is an arithmetic number, because the mean of its divisors is an integer number (19032384).

Almost surely, 2^1354875340 is an apocalyptic number.

1354875340 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 1354875340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827108864).

1354875340 is an abundant number, since it is smaller than the sum of its proper divisors (2299342388).

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

1354875340 is a wasteful number, since it uses less digits than its factorization.

1354875340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 1354875340 is about 36808.6313247314. The cubic root of 1354875340 is about 1106.5382887243.

It can be divided in two parts, 13548 and 75340, that added together give a palindrome (88888).

The spelling of 1354875340 in words is "one billion, three hundred fifty-four million, eight hundred seventy-five thousand, three hundred forty".