138458628 has 144 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 35640000.

The previous prime is 138458627. The next prime is 138458629. The reversal of 138458628 is 826854831.

138458628 is a `hidden beast` number, since 13 + 8 + 4 + 5 + 8 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (138458627) and next prime (138458629).

It is not an unprimeable number, because it can be changed into a prime (138458627) 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, 551503 + ... + 551753.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2^138458628 is an apocalyptic number.

138458628 is a gapful number since it is divisible by the number (18) 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 138458628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

138458628 is an abundant number, since it is smaller than the sum of its proper divisors (301835772).

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

138458628 is a wasteful number, since it uses less digits than its factorization.

138458628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 138458628 is about 11766.8444368063. The cubic root of 138458628 is about 517.3367629096.

The spelling of 138458628 in words is "one hundred thirty-eight million, four hundred fifty-eight thousand, six hundred twenty-eight".