1354639932100 has 243 divisors, whose sum is σ = 3705667585767. Its totient is φ = 428386008960.

The previous prime is 1354639932059. The next prime is 1354639932133. The reversal of 1354639932100 is 12399364531.

The square root of 1354639932100 is 1163890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 349160446404 + 1005479485696 = 590898^2 + 1002736^2 .

It is a super-3 number, since 3×1354639932100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1059139261 + ... + 1059140539.

Almost surely, 2^{1354639932100} is an apocalyptic number.

1354639932100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1354639932100 is the 1163890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354639932100

1354639932100 is an abundant number, since it is smaller than the sum of its proper divisors (2351027653667).

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

1354639932100 is a wasteful number, since it uses less digits than its factorization.

1354639932100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 1354639932100 in words is "one trillion, three hundred fifty-four billion, six hundred thirty-nine million, nine hundred thirty-two thousand, one hundred".