146457642240 has 2160 divisors, whose sum is σ = 696551442048. Its totient is φ = 28593782784.

The previous prime is 146457642229. The next prime is 146457642257. The reversal of 146457642240 is 42246754641.

It is a happy number.

146457642240 is a `hidden beast` number, since 14 + 6 + 4 + 576 + 4 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3405991659 + ... + 3405991701.

Almost surely, 2^146457642240 is an apocalyptic number.

146457642240 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 146457642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348275721024).

146457642240 is an abundant number, since it is smaller than the sum of its proper divisors (550093799808).

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

146457642240 is a wasteful number, since it uses less digits than its factorization.

146457642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 146457642240 in words is "one hundred forty-six billion, four hundred fifty-seven million, six hundred forty-two thousand, two hundred forty".