146951616 has 112 divisors (see below), whose sum is σ = 452957184. Its totient is φ = 41174016.

The previous prime is 146951599. The next prime is 146951617. The reversal of 146951616 is 616159641.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×146951616² = 43189554890022912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146951617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70201 + ... + 72263.

Almost surely, 2^146951616 is an apocalyptic number.

146951616 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 146951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226478592).

146951616 is an abundant number, since it is smaller than the sum of its proper divisors (306005568).

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

146951616 is a wasteful number, since it uses less digits than its factorization.

146951616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2128 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 146951616 is about 12122.3601662383. The cubic root of 146951616 is about 527.7052992730.

The spelling of 146951616 in words is "one hundred forty-six million, nine hundred fifty-one thousand, six hundred sixteen".