190138337280 has 240 divisors, whose sum is σ = 681517696860. Its totient is φ = 50703335424.

The previous prime is 190138337269. The next prime is 190138337287. The reversal of 190138337280 is 82733831091.

It is a happy number.

190138337280 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 38 + 337 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186375250944 + 3763086336 = 431712^2 + 61344^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (190138337287) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 714822 + ... + 944058.

Almost surely, 2^190138337280 is an apocalyptic number.

190138337280 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 190138337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340758848430).

190138337280 is an abundant number, since it is smaller than the sum of its proper divisors (491379359580).

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

190138337280 is an equidigital number, since it uses as much as digits as its factorization.

190138337280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229276 (or 229247 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 190138337280 in words is "one hundred ninety billion, one hundred thirty-eight million, three hundred thirty-seven thousand, two hundred eighty".