151022414320 has 40 divisors (see below), whose sum is σ = 359691197040. Its totient is φ = 58935575040.

The previous prime is 151022414303. The next prime is 151022414419. The reversal of 151022414320 is 23414220151.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×151022414320³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23018430 + ... + 23024989.

It is an arithmetic number, because the mean of its divisors is an integer number (8992279926).

Almost surely, 2^151022414320 is an apocalyptic number.

151022414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151022414320 is an abundant number, since it is smaller than the sum of its proper divisors (208668782720).

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

151022414320 is a wasteful number, since it uses less digits than its factorization.

151022414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46043473 (or 46043467 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 151022414320 its reverse (23414220151), we get a palindrome (174436634471).

The spelling of 151022414320 in words is "one hundred fifty-one billion, twenty-two million, four hundred fourteen thousand, three hundred twenty".