156220416 has 264 divisors, whose sum is σ = 521149824. Its totient is φ = 44605440.

The previous prime is 156220411. The next prime is 156220447. The reversal of 156220416 is 614022651.

It is a tau number, because it is divible by the number of its divisors (264).

It is a self number, because there is not a number n which added to its sum of digits gives 156220416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156220411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331615 + ... + 2331681.

Almost surely, 2^156220416 is an apocalyptic number.

156220416 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 156220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260574912).

156220416 is an abundant number, since it is smaller than the sum of its proper divisors (364929408).

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

156220416 is a wasteful number, since it uses less digits than its factorization.

156220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 156220416 is about 12498.8165839811. The cubic root of 156220416 is about 538.5746774046.

The spelling of 156220416 in words is "one hundred fifty-six million, two hundred twenty thousand, four hundred sixteen".