380135134080 has 2048 divisors, whose sum is σ = 1677957120000. Its totient is φ = 80741007360.

The previous prime is 380135134079. The next prime is 380135134133. The reversal of 380135134080 is 80431531083.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12262423665 + ... + 12262423695.

It is an arithmetic number, because the mean of its divisors is an integer number (819315000).

Almost surely, 2^380135134080 is an apocalyptic number.

380135134080 is a gapful number since it is divisible by the number (30) 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 380135134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838978560000).

380135134080 is an abundant number, since it is smaller than the sum of its proper divisors (1297821985920).

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

380135134080 is a wasteful number, since it uses less digits than its factorization.

380135134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 380135134080 in words is "three hundred eighty billion, one hundred thirty-five million, one hundred thirty-four thousand, eighty".