152582940 has 120 divisors (see below), whose sum is σ = 484090992. Its totient is φ = 40227840.

The previous prime is 152582917. The next prime is 152582951. The reversal of 152582940 is 49285251.

152582940 = T₁ + T₂ + ... + T₉₇₀.

152582940 is a nontrivial binomial coefficient, being equal to C(972, 3).

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 = 152582895 and 152582904.

It is a congruent number.

It is an unprimeable number.

It is the 970-th tetrahedral number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156655 + ... + 157625.

Almost surely, 2^152582940 is an apocalyptic number.

152582940 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 152582940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242045496).

152582940 is an abundant number, since it is smaller than the sum of its proper divisors (331508052).

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

152582940 is a wasteful number, since it uses less digits than its factorization.

152582940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 152582940 is about 12352.4467211966. The cubic root of 152582940 is about 534.3617041937.

The spelling of 152582940 in words is "one hundred fifty-two million, five hundred eighty-two thousand, nine hundred forty".