145854540 has 192 divisors, whose sum is σ = 496742400. Its totient is φ = 35313408.

The previous prime is 145854503. The next prime is 145854559. The reversal of 145854540 is 45458541.

It is a happy number.

145854540 is a `hidden beast` number, since 14 + 58 + 54 + 540 = 666.

It is a super-2 number, since 2×145854540² = 42547093677223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145854495 and 145854504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 554449 + ... + 554711.

It is an arithmetic number, because the mean of its divisors is an integer number (2587200).

Almost surely, 2^145854540 is an apocalyptic number.

145854540 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 145854540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248371200).

145854540 is an abundant number, since it is smaller than the sum of its proper divisors (350887860).

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

145854540 is a wasteful number, since it uses less digits than its factorization.

145854540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 145854540 is about 12077.0252959907. The cubic root of 145854540 is about 526.3888126505.

The spelling of 145854540 in words is "one hundred forty-five million, eight hundred fifty-four thousand, five hundred forty".