146137992 has 288 divisors, whose sum is σ = 509443200. Its totient is φ = 34594560.

The previous prime is 146137991. The next prime is 146138033. The reversal of 146137992 is 299731641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (146137991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1849809 + ... + 1849887.

It is an arithmetic number, because the mean of its divisors is an integer number (1768900).

Almost surely, 2^146137992 is an apocalyptic number.

146137992 is a gapful number since it is divisible by the number (12) 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 146137992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254721600).

146137992 is an abundant number, since it is smaller than the sum of its proper divisors (363305208).

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

146137992 is a wasteful number, since it uses less digits than its factorization.

146137992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 146137992 is about 12088.7547745829. The cubic root of 146137992 is about 526.7295846070.

The spelling of 146137992 in words is "one hundred forty-six million, one hundred thirty-seven thousand, nine hundred ninety-two".