146137640 has 64 divisors (see below), whose sum is σ = 360720000. Its totient is φ = 52842240.

The previous prime is 146137619. The next prime is 146137669. The reversal of 146137640 is 46731641.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 146137597 and 146137606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86726 + ... + 88394.

It is an arithmetic number, because the mean of its divisors is an integer number (5636250).

Almost surely, 2^146137640 is an apocalyptic number.

146137640 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 146137640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180360000).

146137640 is an abundant number, since it is smaller than the sum of its proper divisors (214582360).

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

146137640 is a wasteful number, since it uses less digits than its factorization.

146137640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 146137640 is about 12088.7402155891. The cubic root of 146137640 is about 526.7291616986.

The spelling of 146137640 in words is "one hundred forty-six million, one hundred thirty-seven thousand, six hundred forty".