135467923500000 has 5040 divisors, whose sum is σ = 641574436179600. Its totient is φ = 27782092800000.

The previous prime is 135467923499981. The next prime is 135467923500073. The reversal of 135467923500000 is 5329764531.

135467923500000 is a `hidden beast` number, since 1 + 3 + 54 + 6 + 7 + 92 + 3 + 500 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 839 ways as a sum of consecutive naturals, for example, 1522111499956 + ... + 1522111500044.

It is an arithmetic number, because the mean of its divisors is an integer number (127296515115).

Almost surely, 2^{135467923500000} is an apocalyptic number.

135467923500000 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 135467923500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320787218089800).

135467923500000 is an abundant number, since it is smaller than the sum of its proper divisors (506106512679600).

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

135467923500000 is an frugal number, since it uses more digits than its factorization.

135467923500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 135467923500000 in words is "one hundred thirty-five trillion, four hundred sixty-seven billion, nine hundred twenty-three million, five hundred thousand".