135083520000 has 1560 divisors, whose sum is σ = 586799701488. Its totient is φ = 29491200000.

The previous prime is 135083519981. The next prime is 135083520017. The reversal of 135083520000 is 25380531.

135083520000 is a `hidden beast` number, since 13 + 50 + 83 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3294719980 + ... + 3294720020.

Almost surely, 2^135083520000 is an apocalyptic number.

135083520000 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 135083520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293399850744).

135083520000 is an abundant number, since it is smaller than the sum of its proper divisors (451716181488).

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

135083520000 is a wasteful number, since it uses less digits than its factorization.

135083520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

It can be divided in two parts, 1350 and 83520000, that added together give a triangular number (83521350 = T₁₂₉₂₄).

The spelling of 135083520000 in words is "one hundred thirty-five billion, eighty-three million, five hundred twenty thousand".