157974948 has 240 divisors, whose sum is σ = 482993280. Its totient is φ = 44706816.

The previous prime is 157974923. The next prime is 157974959. The reversal of 157974948 is 849479751.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2540160) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 157974894 and 157974903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3673815 + ... + 3673857.

It is an arithmetic number, because the mean of its divisors is an integer number (2012472).

Almost surely, 2^157974948 is an apocalyptic number.

157974948 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 157974948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241496640).

157974948 is an abundant number, since it is smaller than the sum of its proper divisors (325018332).

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

157974948 is a wasteful number, since it uses less digits than its factorization.

157974948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 157974948 is about 12568.8085354181. The cubic root of 157974948 is about 540.5834434650.

The spelling of 157974948 in words is "one hundred fifty-seven million, nine hundred seventy-four thousand, nine hundred forty-eight".