146497562500 has 63 divisors (see below), whose sum is σ = 320668766481. Its totient is φ = 58560750000.

The previous prime is 146497562473. The next prime is 146497562531. The reversal of 146497562500 is 5265794641.

The square root of 146497562500 is 382750.

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

It can be written as a sum of positive squares in 3 ways, for example, as 128345928516 + 18151633984 = 358254^2 + 134728^2 .

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, 95686735 + ... + 95688265.

Almost surely, 2^146497562500 is an apocalyptic number.

146497562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146497562500 is the 382750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146497562500

146497562500 is an abundant number, since it is smaller than the sum of its proper divisors (174171203981).

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

146497562500 is an frugal number, since it uses more digits than its factorization.

146497562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 146497562500 by its sum of digits (49), we get a square (7178380562500 = 2679250²).

The spelling of 146497562500 in words is "one hundred forty-six billion, four hundred ninety-seven million, five hundred sixty-two thousand, five hundred".