152672040 has 192 divisors, whose sum is σ = 522849600. Its totient is φ = 40061952.

The previous prime is 152671963. The next prime is 152672041. The reversal of 152672040 is 40276251.

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 = 152671995 and 152672013.

It is not an unprimeable number, because it can be changed into a prime (152672041) 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, 1098291 + ... + 1098429.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^152672040 is an apocalyptic number.

152672040 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 152672040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261424800).

152672040 is an abundant number, since it is smaller than the sum of its proper divisors (370177560).

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

152672040 is a wasteful number, since it uses less digits than its factorization.

152672040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 152672040 is about 12356.0527677734. The cubic root of 152672040 is about 534.4656965171.

The spelling of 152672040 in words is "one hundred fifty-two million, six hundred seventy-two thousand, forty".