83145371400 has 1536 divisors, whose sum is σ = 384725376000. Its totient is φ = 16004874240.

The previous prime is 83145371327. The next prime is 83145371459. The reversal of 83145371400 is 417354138.

It is a happy number.

83145371400 is a `hidden beast` number, since 83 + 1 + 4 + 537 + 1 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 309090466 + ... + 309090734.

It is an arithmetic number, because the mean of its divisors is an integer number (250472250).

Almost surely, 2^83145371400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83145371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192362688000).

83145371400 is an abundant number, since it is smaller than the sum of its proper divisors (301580004600).

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

83145371400 is a wasteful number, since it uses less digits than its factorization.

83145371400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 83145371400 in words is "eighty-three billion, one hundred forty-five million, three hundred seventy-one thousand, four hundred".