146499071040 has 336 divisors, whose sum is σ = 601196054400. Its totient is φ = 33485405184.

The previous prime is 146499071029. The next prime is 146499071087. The reversal of 146499071040 is 40170994641.

146499071040 is a `hidden beast` number, since 146 + 499 + 0 + 7 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250341 + ... + 596379.

Almost surely, 2^146499071040 is an apocalyptic number.

146499071040 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 146499071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300598027200).

146499071040 is an abundant number, since it is smaller than the sum of its proper divisors (454696983360).

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

146499071040 is a wasteful number, since it uses less digits than its factorization.

146499071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346079 (or 346056 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 146499071040 in words is "one hundred forty-six billion, four hundred ninety-nine million, seventy-one thousand, forty".