149712 has 20 divisors (see below), whose sum is σ = 386880. Its totient is φ = 49888.

The previous prime is 149711. The next prime is 149713. The reversal of 149712 is 217941.

Added to its reverse (217941) it gives a triangular number (367653 = T₈₅₇).

It is an interprime number because it is at equal distance from previous prime (149711) and next prime (149713).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149711) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1512 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

2¹⁴⁹⁷¹² is an apocalyptic number.

149712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149712 is an abundant number, since it is smaller than the sum of its proper divisors (237168).

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

149712 is a wasteful number, since it uses less digits than its factorization.

149712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3124 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 149712 is about 386.9263495809. The cubic root of 149712 is about 53.0989015984.

Adding to 149712 its reverse (217941), we get a triangular number (367653 = T₈₅₇).

It can be divided in two parts, 149 and 712, that added together give a triangular number (861 = T₄₁).

The spelling of 149712 in words is "one hundred forty-nine thousand, seven hundred twelve".