151866414 has 80 divisors (see below), whose sum is σ = 391842528. Its totient is φ = 43063488.

The previous prime is 151866397. The next prime is 151866431. The reversal of 151866414 is 414668151.

151866414 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 6 + 641 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (151866397) and next prime (151866431).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177612 + ... + 178464.

Almost surely, 2^151866414 is an apocalyptic number.

151866414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151866414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195921264).

151866414 is an abundant number, since it is smaller than the sum of its proper divisors (239976114).

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

151866414 is a wasteful number, since it uses less digits than its factorization.

151866414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1022 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 151866414 is about 12323.4091873962. The cubic root of 151866414 is about 533.5239413323.

The spelling of 151866414 in words is "one hundred fifty-one million, eight hundred sixty-six thousand, four hundred fourteen".