151074 has 48 divisors (see below), whose sum is σ = 411840. Its totient is φ = 38880.

The previous prime is 151057. The next prime is 151091. The reversal of 151074 is 470151.

151074 = T₉₂ + T₉₃ + ... + T₁₁₈.

It is an interprime number because it is at equal distance from previous prime (151057) and next prime (151091).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

151074 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2¹⁵¹⁰⁷⁴ is an apocalyptic number.

151074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205920).

151074 is an abundant number, since it is smaller than the sum of its proper divisors (260766).

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

151074 is a wasteful number, since it uses less digits than its factorization.

151074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 151074 is about 388.6823896191. The cubic root of 151074 is about 53.2594375920.

It can be divided in two parts, 15 and 1074, that multiplied together give a triangular number (16110 = T₁₇₉).

The spelling of 151074 in words is "one hundred fifty-one thousand, seventy-four".