153954416 has 80 divisors (see below), whose sum is σ = 391522560. Its totient is φ = 56816640.

The previous prime is 153954407. The next prime is 153954439. The reversal of 153954416 is 614459351.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 153954416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20120 + ... + 26696.

It is an arithmetic number, because the mean of its divisors is an integer number (4894032).

Almost surely, 2^153954416 is an apocalyptic number.

153954416 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 153954416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195761280).

153954416 is an abundant number, since it is smaller than the sum of its proper divisors (237568144).

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

153954416 is a wasteful number, since it uses less digits than its factorization.

153954416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622 (or 6616 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 153954416 is about 12407.8368783604. The cubic root of 153954416 is about 535.9579494746.

It can be divided in two parts, 1539 and 54416, that added together give a palindrome (55955).

The spelling of 153954416 in words is "one hundred fifty-three million, nine hundred fifty-four thousand, four hundred sixteen".