146973840 has 240 divisors, whose sum is σ = 524424768. Its totient is φ = 33841152.

The previous prime is 146973839. The next prime is 146973847. The reversal of 146973840 is 48379641.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 146973792 and 146973801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146973847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901599 + ... + 901761.

Almost surely, 2^146973840 is an apocalyptic number.

146973840 is a gapful number since it is divisible by the number (10) 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 146973840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262212384).

146973840 is an abundant number, since it is smaller than the sum of its proper divisors (377450928).

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

146973840 is a wasteful number, since it uses less digits than its factorization.

146973840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 146973840 is about 12123.2767847641. The cubic root of 146973840 is about 527.7319001632.

The spelling of 146973840 in words is "one hundred forty-six million, nine hundred seventy-three thousand, eight hundred forty".