146499093504 has 231 divisors, whose sum is σ = 440075214103. Its totient is φ = 48722798592.

The previous prime is 146499093487. The next prime is 146499093523. The reversal of 146499093504 is 405390994641.

It is a happy number.

The square root of 146499093504 is 382752.

It is a perfect power (a square), and thus also a powerful number.

146499093504 is a `hidden beast` number, since 1 + 4 + 6 + 49 + 9 + 0 + 93 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 330697507 + ... + 330697949.

Almost surely, 2^146499093504 is an apocalyptic number.

146499093504 is the 382752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146499093504

146499093504 is an abundant number, since it is smaller than the sum of its proper divisors (293576120599).

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

146499093504 is an frugal number, since it uses more digits than its factorization.

146499093504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 146499093504 in words is "one hundred forty-six billion, four hundred ninety-nine million, ninety-three thousand, five hundred four".