162149040 has 240 divisors, whose sum is σ = 595795200. Its totient is φ = 40870656.

The previous prime is 162149027. The next prime is 162149047. The reversal of 162149040 is 40941261.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×162149040² = 52584622345843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 162148995 and 162149013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162149047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369141 + ... + 369579.

It is an arithmetic number, because the mean of its divisors is an integer number (2482480).

Almost surely, 2^162149040 is an apocalyptic number.

162149040 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 162149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297897600).

162149040 is an abundant number, since it is smaller than the sum of its proper divisors (433646160).

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

162149040 is a wasteful number, since it uses less digits than its factorization.

162149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 162149040 is about 12733.7755595110. The cubic root of 162149040 is about 545.3033017033.

The spelling of 162149040 in words is "one hundred sixty-two million, one hundred forty-nine thousand, forty".