135972100 has 72 divisors (see below), whose sum is σ = 326604096. Its totient is φ = 48720000.

The previous prime is 135972079. The next prime is 135972121. The reversal of 135972100 is 1279531.

135972100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135972079) and next prime (135972121).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77230 + ... + 78970.

It is an arithmetic number, because the mean of its divisors is an integer number (4536168).

Almost surely, 2^135972100 is an apocalyptic number.

135972100 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 135972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163302048).

135972100 is an abundant number, since it is smaller than the sum of its proper divisors (190631996).

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

135972100 is a wasteful number, since it uses less digits than its factorization.

135972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 135972100 is about 11660.7075257036. The cubic root of 135972100 is about 514.2211496696.

The spelling of 135972100 in words is "one hundred thirty-five million, nine hundred seventy-two thousand, one hundred".