145948992 has 168 divisors, whose sum is σ = 460052928. Its totient is φ = 39997440.

The previous prime is 145948987. The next prime is 145948997. The reversal of 145948992 is 299849541.

It is an interprime number because it is at equal distance from previous prime (145948987) and next prime (145948997).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×145948992² = 42602216531632128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145948997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291528 + ... + 1291640.

Almost surely, 2^145948992 is an apocalyptic number.

145948992 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 145948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230026464).

145948992 is an abundant number, since it is smaller than the sum of its proper divisors (314103936).

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

145948992 is a wasteful number, since it uses less digits than its factorization.

145948992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 156 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 145948992 is about 12080.9350631481. The cubic root of 145948992 is about 526.5024138402.

The spelling of 145948992 in words is "one hundred forty-five million, nine hundred forty-eight thousand, nine hundred ninety-two".