157467420 has 144 divisors (see below), whose sum is σ = 529296768. Its totient is φ = 37572480.

The previous prime is 157467377. The next prime is 157467463. The reversal of 157467420 is 24764751.

157467420 is a `hidden beast` number, since 1 + 574 + 67 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (157467377) and next prime (157467463).

It is a super-2 number, since 2×157467420² = 49591976722912800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132067 + ... + 133253.

It is an arithmetic number, because the mean of its divisors is an integer number (3675672).

Almost surely, 2^157467420 is an apocalyptic number.

157467420 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 157467420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264648384).

157467420 is an abundant number, since it is smaller than the sum of its proper divisors (371829348).

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

157467420 is a wasteful number, since it uses less digits than its factorization.

157467420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 157467420 is about 12548.6023126084. The cubic root of 157467420 is about 540.0039094367.

The spelling of 157467420 in words is "one hundred fifty-seven million, four hundred sixty-seven thousand, four hundred twenty".