152129340 has 120 divisors (see below), whose sum is σ = 520681392. Its totient is φ = 36875520.

The previous prime is 152129339. The next prime is 152129387. The reversal of 152129340 is 43921251.

It is a super-3 number, since 3×152129340³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13552 + ... + 22088.

Almost surely, 2^152129340 is an apocalyptic number.

152129340 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 152129340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260340696).

152129340 is an abundant number, since it is smaller than the sum of its proper divisors (368552052).

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

152129340 is a wasteful number, since it uses less digits than its factorization.

152129340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8569 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 152129340 is about 12334.0723202031. The cubic root of 152129340 is about 533.8316601051.

The spelling of 152129340 in words is "one hundred fifty-two million, one hundred twenty-nine thousand, three hundred forty".