135624610000 has 400 divisors, whose sum is σ = 376250561280. Its totient is φ = 46897920000.

The previous prime is 135624609947. The next prime is 135624610007. The reversal of 135624610000 is 16426531.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135624610007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 191289646 + ... + 191290354.

Almost surely, 2^135624610000 is an apocalyptic number.

135624610000 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 135624610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188125280640).

135624610000 is an abundant number, since it is smaller than the sum of its proper divisors (240625951280).

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

135624610000 is a wasteful number, since it uses less digits than its factorization.

135624610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 135624610000 in words is "one hundred thirty-five billion, six hundred twenty-four million, six hundred ten thousand".