136942416 has 120 divisors (see below), whose sum is σ = 415973376. Its totient is φ = 41806080.

The previous prime is 136942411. The next prime is 136942417. The reversal of 136942416 is 614249631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136942411) 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, 357361 + ... + 357743.

Almost surely, 2^136942416 is an apocalyptic number.

136942416 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 136942416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207986688).

136942416 is an abundant number, since it is smaller than the sum of its proper divisors (279030960).

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

136942416 is a wasteful number, since it uses less digits than its factorization.

136942416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 136942416 is about 11702.2397856137. The cubic root of 136942416 is about 515.4414363226.

It can be divided in two parts, 13694 and 2416, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 136942416 in words is "one hundred thirty-six million, nine hundred forty-two thousand, four hundred sixteen".