151822446736 has 45 divisors (see below), whose sum is σ = 304739793241. Its totient is φ = 73271774912.

The previous prime is 151822446683. The next prime is 151822446749. The reversal of 151822446736 is 637644228151.

The square root of 151822446736 is 389644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79612008336 + 72210438400 = 282156^2 + 268720^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 151822446736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45197025 + ... + 45200383.

Almost surely, 2^151822446736 is an apocalyptic number.

151822446736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

151822446736 is the 389644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151822446736

151822446736 is an abundant number, since it is smaller than the sum of its proper divisors (152917346505).

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

151822446736 is an frugal number, since it uses more digits than its factorization.

151822446736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 3390 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

Multiplying 151822446736 by its sum of digits (49), we get a square (7439299890064 = 2727508²).

The spelling of 151822446736 in words is "one hundred fifty-one billion, eight hundred twenty-two million, four hundred forty-six thousand, seven hundred thirty-six".