151413214110 has 64 divisors (see below), whose sum is σ = 373612302144. Its totient is φ = 39243571200.

The previous prime is 151413214103. The next prime is 151413214159. The reversal of 151413214110 is 11412314151.

151413214110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151413214110² (a number of 23 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 972030 + ... + 1116990.

It is an arithmetic number, because the mean of its divisors is an integer number (5837692221).

Almost surely, 2^151413214110 is an apocalyptic number.

151413214110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151413214110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186806151072).

151413214110 is an abundant number, since it is smaller than the sum of its proper divisors (222199088034).

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

151413214110 is a wasteful number, since it uses less digits than its factorization.

151413214110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145949.

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 151413214110 its reverse (11412314151), we get a palindrome (162825528261).

The spelling of 151413214110 in words is "one hundred fifty-one billion, four hundred thirteen million, two hundred fourteen thousand, one hundred ten".