147340416 has 128 divisors (see below), whose sum is σ = 411998400. Its totient is φ = 46592000.

The previous prime is 147340409. The next prime is 147340433. The reversal of 147340416 is 614043741.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×147340416³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124671 + ... + 1124801.

Almost surely, 2^147340416 is an apocalyptic number.

147340416 is a gapful number since it is divisible by the number (16) 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 147340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205999200).

147340416 is an abundant number, since it is smaller than the sum of its proper divisors (264657984).

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

147340416 is a wasteful number, since it uses less digits than its factorization.

147340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 147340416 is about 12138.3860541672. The cubic root of 147340416 is about 528.1702848369.

The spelling of 147340416 in words is "one hundred forty-seven million, three hundred forty thousand, four hundred sixteen".