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135153100800 = 21137521771

135153100800 has 1152 divisors, whose sum is σ = 539627961600. Its totient is φ = 33443020800.

The previous prime is 135153100799. The next prime is 135153100801. The reversal of 135153100800 is 8001351531.

135153100800 is a `hidden beast` number, since 1 + 3 + 51 + 531 + 0 + 0 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135153100799) and next prime (135153100801).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135153100801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1903564765 + ... + 1903564835.

It is an arithmetic number, because the mean of its divisors is an integer number (468427050).

Almost surely, 2135153100800 is an apocalyptic number.

135153100800 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 135153100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269813980800).

135153100800 is an abundant number, since it is smaller than the sum of its proper divisors (404474860800).

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

135153100800 is an frugal number, since it uses more digits than its factorization.

135153100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 135153100800 in words is "one hundred thirty-five billion, one hundred fifty-three million, one hundred thousand, eight hundred".