146952951600 has 480 divisors, whose sum is σ = 590326216704. Its totient is φ = 30419251200.

The previous prime is 146952951559. The next prime is 146952951623. The reversal of 146952951600 is 6159259641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 146952951600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5774905 + ... + 5800295.

Almost surely, 2^146952951600 is an apocalyptic number.

146952951600 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 146952951600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295163108352).

146952951600 is an abundant number, since it is smaller than the sum of its proper divisors (443373265104).

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

146952951600 is a wasteful number, since it uses less digits than its factorization.

146952951600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25485 (or 25474 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 146952951600 in words is "one hundred forty-six billion, nine hundred fifty-two million, nine hundred fifty-one thousand, six hundred".